Solve this equation. Please show work.

log(4m-10)=1

Answers

Answer 1

Answer:

m=5

Step-by-step explanation:

1. Convert the logarithm into exponential form using the fact that [tex]log_{a}[/tex](x)=b is equal to x=[tex]a^{b}[/tex] so ... 4m-10=[tex]10^{1}[/tex]

2. Any expression raised to the power of 1 equals itself so ... 4m-10=10

3. Move the constant to the right-hand side and change its sign so ... 4m=10+10

4. Add the numbers so ... 4m=20

5. Divide both sides of the equation by 4 so ... m=5, m>[tex]\frac{5}{2}[/tex]

6. Check if the solution is in the defined range so ... m=5


Related Questions

1/9x=5
solve for x
please show step by step

Answers

Answer:

x=1/45

Step-by-step explanation:

do the inverse

please mark it as brainliest!!<3

In triangle MNP, side m is 54.5 inches, side n is 51.4 inches, and side p is 60 inches long. What is the measure of P?

Answers

Answer:

P = 68.95

Step-by-step explanation:

Here, we want to get the measure of angle P

Please check the attachment for the diagram of the triangle

To get P, we use the cosine rule

p^2 = m^2 + n^2 - 2mn Cos P

60^2 = 51.4^2 + 54.5^2 -2(51.4)(54.5) Cos P

2012.21 = 5602.6 Cos P

cos P = 2012.21/5602.6

cos P = 0.3592

P = arc cos 0.3592

P = 68.95

Easy Area problem

Need it fast

Answers

Answer:

just subtract the area of the rectangle from the area of the carpet

fine I'll do it

Area of a rectangle= lb

Area of a square= a^2

Area of the remaining area= lb - a^2

= (12*4) - (2*2)

= 48-4

= 44 ft^2

The length of a rectangular cement patio is 3 feet less than three times the width. The sum of the length and width of the patio is 21 feet. Find the length of the patio.

Answers

Answer: The length is 15 feet.

Step-by-step explanation:

L = 3w - 3 (length is 3 feet less than three times the width)21 = w + (3w -3)21 = 4w - 3 (add like terms)24 = 4w (substract 3 from both sides)6 = w <-- width

But, the problem is asking for the length...

L = 3w - 3L = 3(6) - 3L = 18 - 3L = 15 ft

ABCD is an isosceles trapezoid. m < A = 6x + 12 and m < D = 2x + 20. angles B&C are congruent.
what is the measure of angles B&C?

Answers

Answer:

156°

Step-by-step explanation:

Basically, the teacher wants a math equation story but I can't think of one.

Answers

Answer:

For one hour Luke biked uphill 3 miles. After biking 3 miles uphill for one hour Luke stopped  at the store for 2 hours.

Step-by-step explanation:

Alyssa has $75 less than three times Eric. Together they have $905. How much money do they each have?

Answers

Answer:

Alyssa=225

Eric=680

Step-by-step explanation:

The money Alyssa has $660 and  Eric has $245.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, Alyssa has $75 less than three times Eric.

Let $x be the money Eric had.

Then Alyssa has 3x-75

Together they have $905.

So, x+3x-75=905

4x=905+75

4x=980

x=980/4

x=$245

Money Alyssa has 3x-75

= 3×245-75

= 735-75

= $660

Therefore, money Alyssa has $660 and  Eric has $245.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

Sheila was given $20.00 for her birthday and spent $14.79 on a CD. How much was her change?
A. $5.21
B. $6.31
C. $16.31
D. $34.79

Answers

Answer:

the answer would be A because when u subtract it the answer is $5.21

Which is a graph of the solution of the inequality -5m+10>70

Answers

Answer:

solving form; m< -12  

Step-by-step explanation:

On a linear graph there would be an open circle on the number -12 and the line would be pointing left

Three friends went to the batting cage. Cameron made 36 hits, Austin made 14 hits, and Jordan made 24 hits. How many hits did the three make in all?
A.
60
B.
50
C.
38
D.
74

Answers

Answer:

36+14+24=74

Step-by-step explanation:

How i figured it out is if you add 36+14 that equals 50 and 50+24=74

that is your answer.

hope this helps;)

x + y > -3
how do I find the ordered pair and a solution to this inequality ​

Answers

Answer:

x>-3-y

Step-by-step explanation:

subtract y from both sides

Write the function for the graph.

Answers

Answer:

the answer is B

Step-by-step explanation:

Simplify the expression. (Picture attached)

Answers

I got the answer 2y.

GIVING BRAINLIEST PLEASE HELP

Answers

Answer:

The answer is B

Step-by-step explanation:

Answer:

ans is B sorry if it's direct

Bronwyn walks one lap of an oval at 2.5 km/h and then jogs another eight laps of the
oval at 5 km/h. If it takes her 30 minutes in total, how long in metres is each lap?

Answers

This is the answer to your question

One solution to a quadratic equation is x = -2i
What is the other solution?

Answers

I believe it would be x=2i

:)

a photocopier can make 20 copies per minute. which equation can be used to find m, the number of minutes the copier takes to make 75 copies

a. 20m = 75
b. 75m = 20
c. m/20 = 75
d. 20/m = 75

Answers

Answer:

It's Option'A' i.e 20m=75

Step-by-step explanation:

or,m=75/20

or,m=3.75

BASIC LEVEL
1. On a sheet of paper, enlarge the following figures
with centre of enlargement E and scale factors each
indicated in brackets.
Plz help

Answers

Answer:

hjskkdoododkdkdndndndndndndndnsn sorry I needed points to ask a question

What is the approximate area of the circle shown below?

Answers

Answer:

c

Step-by-step explanation:

The answer is: 1661.9 which is C 1662 because your rounding up

Find the missing side length

Answers

Option c hope this helps

WILL MARK YOU BRAINLIEST

Answers

Answer: 4.8

Step-by-step explanation:

Simple question for everyone
What shape figure is this? ​

Answers

Answer:

It's a parallelogram

Answer: Rhombus or a Parallelogram


Write the equation of the line pleaseeee

Answers

Answer:

y = 2/3x -1

Step-by-step explanation:

y intersect is -1 as that's where the line passes the y axis

the slope can be found by finding two points and using the slope formula (y-y)/(x-x)

Help and explain please?

Answers

Square root of 160.

Use Pythagorean’s Theorem.
a^2+b^2=c^2
(12)^2+(4)^2=c^2
144+16=c^2
160=c^2
C=square root of 160

Answer the following. a) Find h b) Find x

Answers

Answer:

a) h = 15

b) x = 4

Step-by-step explanation:

a) set up a proportion:

  5 = h

   8     24

cross-multiply:

8h = 120

h = 15

b) x + 5 = x + 5 + 15

   5x + 1    5x + 1 + 35

cross-multiply:

(x + 5)(5x + 36) = (5x + 1)(x + 20)

5[tex]x^{2}[/tex] + 61x + 180 = 5[tex]x^{2}[/tex] + 101x + 20

180 = 40x + 20

160 = 40x

x = 4

A landscaper needs to fill a path measuring 2 feet by 6 feet with patio stones.
The patio stones are ench 1 foot by 2 feet, so the landscaper calculates that she
will need 6 of them,
Before arranging the patio stones, the landscaper wants to look at all of her
options. She cannot cut or overlap the stones, and they all must fit inside the
path area without any gaps. Two possible arrangements of the stones are shown
below. How many different arrangements are there in total?

Answers

Answer:

28

Step-by-step explanation:

You can have 8 1x2 verical in a row,

7 with two horizontals stacked on top of each other.

9 with 4 horizontal tiles,

10 with 6 horizontal tiles,

1 8 horizontal tiles set,

1+7+1+9+10=28

i need help please someone help?

Answers

Answer:[tex]\boxed{\boxed{\sf171~square~feet}}[/tex]Solution Steps:

______________________________

1.) Fill in the formula with the information given:Formula = [tex]\sf{L}[/tex] × [tex]\sf{W}[/tex]Filled in Formula = [tex]19[/tex] × [tex]9[/tex]2.) Multiply:[tex]19[/tex] × [tex]9=171[/tex]

So your answer is [tex]\bold{171^2}[/tex].

______________________________

A car rental company’s standard charge includes an initial fee plus an additional fee for each mile driven. the standard charge S (in dollars) is given by the function S = 0.40M +18.95, where M is the number of miles driven.
The company also offers an option to ensure the car against damage. The insurance charge I (in dollars) is given by the function I= 0.15 M + 5.70
Let C be the total charge (in dollars) for a rental that includes insurance. Write an equation relating C to M. Simplify your answer as much as possible.
C=
What does ac equal?? ^^

Answers

Answer:

C=0.55M+24.65

Step-by-step explanation:

0.40M+0.15M=0.55M

18.95+5.70=24.65

please write an equation for this problem to represent the relationship between the submarines elevation and time.
A submarine is descending to examine the seafloor 2,100 feet below the surface. It takes the submarine 2 hours to make this descent.

Answers

Answer:

I can see if one of my friends can help

Answer:

a?

Step-by-step explanation:

No no BBB

Times it by 6 and take away 10 and the result is 44

Answers

Answer:

(for your second question) 23.69

Step-by-step explanation:

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