Answers
Given:
The equation is:
[tex]\log_{(x-2)}(x^2-4x-6)=\dfrac{4}{5}[/tex]
To find:
The exponential equation of the given logarithmic equation.
Solution:
We have,
[tex]\log_{(x-2)}(x^2-4x-6)=\dfrac{4}{5}[/tex]
According to property of logarithm,
[tex]\log_ax=b\Leftrightarrow x=a^b[/tex]
Using the property of logarithm, we get
[tex]x^2-4x-6=(x-2)^{\frac{4}{5}}[/tex]
Therefore, the required exponential equation is [tex]x^2-4x-6=(x-2)^{\frac{4}{5}}[/tex].
Related Questions
18. How many kilograms are in 21,500 grams?
Answers
Answer:
0,0215
Step-by-step explanation:
Please help, brainliest for correct answer
Answers
Answer:
11494.04 units
Step-by-step explanation:
V = 4/3 [tex]\pi[/tex] r³ = 4/3 · [tex]\pi[/tex] · 14³ ≈ 11494.04032
18. Emma rents a car from a company that rents cars by the hour. She has to pay an initial fee of $75, and then they charge her $9 per hour. Write an equation for the total cost Cif Emma rents the car for h hours. If Emma has budgeted $250 for the rental cars, how many hours can she rent the car? Assume the car cannot be rented for part of an hour.
Answers
Step-by-step explanation:
Let h be the number of hours.
Total Cost = Fixed Costs + Variable Cost
= Initial Fee + Hourly Charge
= 75 + 9h
Given,
[tex]75 + 9h = 250 \\ 9h = 250 - 75 \\ 9h = 175 \\ h = 175 \div 9 \\ = 19 \frac{4}{9} hr[/tex]
Since the car cannot be rent part of an hour, the highest possible whole number is 19 hours.
The distance between Daytona Beach and Tallahassee is about 143,000 m. How many kilometers is this?
Answers
Answer:
There are 212.89 miles from Tallahassee to Daytona Beach in southeast direction and 251 miles (403.95 kilometers) .
Alexandra invested $610 in an account paying an interest rate of 7 3/8% compounded
daily. Madeline invested $610 in an account paying an interest rate of 7 7/8%
compounded continuously. After 16 years, how much more money would Madeline
have in her account than Alexandra, to the nearest dollar?
Answers
Exact answer: 165.5754
Rounded to the nearest dollar: 166
Find the measure of angle b. Show work to prove your answer.
b/50
Answers
Answer:
b = 130°
Step-by-step explanation:
angles b and 50° are supplementary angles so their sum is 180°.
b = 180° - 50° = 130°
Answer:
Step-by-step explanation:
right angel u have to angel it with a pen on a paper but i know its b/50 cuz i did it already.
If g(x) = 3^Vx-123, find g( - 2).
Answers
Answer:
g(-2) = -5
Step-by-step explanation:
We are given the following function:
[tex]g(x) = \sqrt[3]{x - 123}[/tex]
Find g( - 2).
This means that we find g when [tex]x = -2[/tex]. So
[tex]g(-2) = \sqrt[3]{-2 - 123} = \sqrt[3]{-125} = \sqrt[3]{-5^3} = -5[/tex]
So
g(-2) = -5
Two parallel lines are crossed by a transversal.
What is the value of x?
Answers
Answer:
what are the questions
Step-by-step explanation:
Jan’s family has 3/4 of a cake left. How many members of her family can get 1/4 of what is left?
Answers
Answer:
3
Step-by-step explanation:
3/4 divided by 1/4 equals 3
Answer:
3
Step-by-step explanation:
3/4 is currently left
Subtract 1/4 by 3/4 until nothing is left
The number you get is 3 therefore the answer is 3
Which of the functiors below could have created this graph
Answers
Answer:
bces
Step-by-step explanation:
How many miles are in 506,880 inches?
Answers
How much do you need to invest every month to reach a savings goal of $600,000 at the end of 20 years, if you invest in an annuity that pays 3% interest, compounded monthly?
Answers
Answer:1828
Step-by-step explanation:
Linear function last one
Answers
Answer:
y=1/2x
Step-by-step explanation:
y=-x would go the other way so cross that one
y=2x would go up really quickly so cross that one
y=0.001x would be more like a horizontal line so cross that one
y = 1/2 is correct
what number is the largest
15%
0.153
1/12
1/7
Answers
Answer:
0.153
Step-by-step explanation:
15% =0.15
0.153 = 0.153
1/12 =0.083
1/7=0.142
So the greatest one is 0.153
Which of the following equations has infinitely many solutions? A. 2x + 5(2x + 6) = 12x + 30 B. 2x + 5 = 2 C. 2(x + 5) + 2 = 6x + 2(x + 2) D. 5x + 2 = 2x + 6
Answers
Answer:
A. 2x + 5(2x + 6) = 12x + 30
Step-by-step explanation:
Infinitely many solutions means the two sides of the equation will be equal to each other, so B and D can be eliminated. Distribute for A and C to check
A. 2x + 5(2x + 6) = 12x + 30
2x + 10x + 30 = 12x + 30
12x + 30 = 12x + 30
C. 2(x + 5) + 2 = 6x + 2(x + 2)
2x + 10 + 2 = 6x +2x + 4
2x + 12 = 8x + 4
You only get the same equation for A, therefore A is the correct answer
Determine the equation of a circle with center at (8, 10) and radius is 6
Answers
Where (h,k) is the center and the r is the radius . So the equation is as follows
( x- 8 ) ^2 + ( y -10 ) ^ 2 = 6^2
Hope this helped
What is the answer to this question
Answers
The best answer from the choices provided is option B) 56.
Step-by-step explanation: Simply subtract 34 from 90.
find the missing side of each triangle
Answers
5th grade math. correct answer will be marked brainliest
Answers
Answer:
1/4 x 3/4 = 3/16
A pair of shoes that normally sells for $85.00 goes on sale for 35% off. Season thinks that the sale price should be $50.00 but Melanie disagrees and says the price should be $55.25. Aiyanna says they are both wrong and decides the price should be $29.75. Who is correct and why?
Answers
Answer:
Melanie is correct
Step-by-step explanation:
35% of 85 is 29.75 so take that away from the original price and you get 55.25
This means the price will be 55.25$
Answer:
Melanie is correct since 65% of $85.00 is $55.25.
Step-by-step explanation:
The original price of the shoes is $85.00. That is 100% of the price of the shoes since 100% is a whole amount.
The discount on the shoes is 35%.
100% - 35% = 65%
That means the sale price is 65% of the original price. Now we calculate 65% of $85.00.
65% of $85.00 =
= 0.65 * $85.00
= $55.25
Answer: Melanie is correct since 65% of $85.00 is 55.25.
OMG PLS HELP!!!!!!!!!!!!!! A rectangular prism has a height of 20 cm, length of 7 cm and width of 5 cm. Use the volume formula to find the volume of this prism. A. 140 cm3 B. 500 cm3 C. 700 cm3 D. 900 cm3
Answers
Answer:
The correct answer is C: 700 cm³
Step-by-step explanation:
V = l × w × h
V = 7 × 5 × 20
V = 7 × 100
V = 700
Evaluate the expression. Can someone show me how this is done with fractions on 7 and 9
Answers
Answer:
Number 7 is; -1/7776
number nine is :| −8/ 3 | or 2.666667
Step-by-step explanation:
-1/6)^5=1^5/6^5
=-1/^5/6/5
1^5=1
=-1/6^5
6^5=7776
=-1/7776
|(− 1/ 3 )(110+9−2)|
=| −1/ 3 (110+9−2)|
=| −1/ 3 (1+9−2)|
=| −1/ 3 (10−2)|
=| −1 /3 (8)|
=| −8 /3 | =2.666667
Hope this helped!!!!
Harvey is placing a microwave oven on his kitchen counter. What information does Harvey need?
A. the volume of the microwave oven and the volume of the kitchen counter
B. the area required for the microwave oven and the area of the kitchen counter
C. the perimeter of the microwave oven and the perimeter of the kitchen counter
Answers
Answer:
b the area
Step-by-step explanation:
you will need to see if you have enough area for the microwave to fit
Jamie purchases a new pair of shoes for $35. She has a coupon for 15%
off the price of the shoes. What is the cost of Jamie's shoes after using
the coupon?
Answers
Answer:
Ewan di ko alam e sorry I didn't understand e
Find the midpoint of BD.
B (0, a)
C С
А
D (a,0)
Enter the value that [?]
belongs in the green box.
Midpoint Formula: M = (4x2.979)
들
2
Enter
Answers
Answer:
A
Step-by-step explanation:
(0.5a, 0.5a) is the midpoint of the line BD and a is the value that belongs in the green box.
What is a midpoint?The midpoint of a line segment is a point that lies exactly halfway between two points.
Consider the points B(0,a) and D(a,0).
The general form of midpoint formula is given by
Midpoint = ( (x₁ + x₂)/2 , (y₁ + y₂)/2)
Here, x₁ = 0, x₂=a and y₁ = a, y₂ = 0
Therefore, the value that belongs in the green box is given by
(x₁ + x₂)/2 = (0+a)/2 = a/2 = 0.5a
(y₁ + y₂)/2 = (a+0)/2 = a/2 = 0.5a
The midpoint is given by
Midpoint = ( (x₁ + x₂)/2 , (y₁ + y₂)/2) = (0.5a, 0.5a)
Hence, the value that belongs in the green box is a and the midpoint of the line BD is (0.5a, 0.5a).
To learn more about midpoint, use the link given below:
https://brainly.com/question/28224145
#SPJ2
In figure, if PQ = QR = 14cm, then find the length of the tangent RT.
gimme answer fastt pls
Answers
Step-by-step explanation:
When we observe the figure there are two semicircles , one of radius 14cm . And other will be of 14cm/2 = 7cm ( Since the 2nd semi circle is drawn taking radius of 1st semicircle as diameter.)
Now join T to the center of 2nd semi circle . Therefore , we have
[tex]\tt\to PR = 28cm \\\\\tt\to PQ + 14cm = 28cm \\\\\tt\to PM + MQ = 14cm \\\\\tt\to MQ = 14cm - 7cm \\\\\to\boxed{\orange{\tt MQ = 7cm }}[/tex]
Now , looking at the figure we know that radius is perpendicular to the tangent at point of contact . Here TR is tangent . Therefore ∆TRM is right angled triangle. Using Pythagoras Theorem we have,
[tex]\tt\to 21^2 = RT^2+7^2 \\\\\tt\to RT^2= 441 - 49 \\\\\tt\to RT =\sqrt{392}\\\\\tt\to\boxed{\orange{\tt RT = 19 .79 cm }}[/tex]
A normal distribution has a mean of 14 and a standard deviation of 4. What percent of values are from 14 to 22?
Answers
Answer:
80% of the values will occurs above 68.24.
Step-by-step explain
thinking this is right but im sorry if its wrong
A certain flight transports over 1,000 passengers daily, and the airline is curious what proportion of passengers
on this flight don't use overhead bin space. They take an SRS of 40 of these passengers and find that 6 of them
don't use overhead bin space. The airline wants to use this data to create a one-sample z interval to estimate
the proportion of passengers on this flight don't use overhead bin space.
Which conditions for constructing this confidence interval did the sample meet?
Choose all answers that apply:
The data is a random sample from the population of interest.
nö > 10 and n(1-P) > 10
Individual observations can be considered independent.
Answers
Answer: The data is a random sample from the population of interest.
And
Individual observations can be considered independent.
Step-by-step explanation:
On khan academy
Find the measure of angle A
(look at pic pls help)
A- 120
B- 300
C- 60
D- 90
Answers
Answer: 300
Step-by-step explanation:
Answer:
90
Step-by-step explanation:
What is the equation of the circle, with center (4, 2) and radius 5 units?
Answers
Answer:
Step-by-step explanation:
Let us begin by just getting the equation of the circle first.
(x - 4)^2 + ( y - 2)^2 = 5^2
(x - 4)^2 + ( y - 2)^2 = 25
Now I'm going to graph that equation and discuss it here.
I have graphed the second equation above.Notice that the center is at (4,2) just as the question requested.A second point was put at (4,7). That was to show you that the radius is 5 units. You can calculate that it is 5 units by noticing that 7 - 2 = 5 So the distance from the center to (4,7) is 5 units which is the amount of the radius.Notice that the numbers representing the center have been reversed in sign. That is always done for a circle. The center's coordinates are always the negative of the coordinates given. You will be told why later.