2. Solve for x. More than one answer may be correct. Select all correct choices.*
log10 2 + log10 (x + 15) = 2
*This question is worth four points. In order to receive full credit, you must show your work or
justify your answer.
2= = -23
2 = -3
x = 5
= 3
x= -13
=
= -20
None of these are correct.
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Font Family
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= = =

2. Solve For X. More Than One Answer May Be Correct. Select All Correct Choices.*log10 2 + Log10 (x +

Answers

Answer 1

Answer:

None of these are correct

The value x = 35 is correct

Explanation:

Step(i):-

Given

         [tex]log^{2} _{10} + log^{(x+5)} _{10} = 2[/tex]

We will apply logarithmic formula

log(a) + log (b) = log a b

  logₓ a = b

⇒   a = xᵇ

Step(ii):-

       [tex]log^{2} _{10} + log^{(x+5)} _{10} = 2[/tex]

    [tex]log^{2(x+15)} _{10} = 2[/tex]

⇒  2 ( x + 15 ) = 10²

⇒ 2 x + 30 = 100

⇒  2 x = 70

⇒  x = 35

Final answer:-

x = 35

Verification:-

 [tex]log^{2} _{10} + log^{(x+5)} _{10} = 2[/tex]

    [tex]log^{2(35+15)} _{10} = 2[/tex]

   [tex]log^{(100)} _{10} = 2[/tex]

  [tex]log^{(10)^{2} } _{10} = 2[/tex]

log x ⁿ = n log x

2 log¹⁰ ₁₀     = 2

2 =  2       (  log¹⁰ ₁₀ = 1


Related Questions

ASAP!!!!!!!!!!!!!!!!

Donald, a costume designer, is working on a film production. For the lead female actor, he needs to alter the size of a waistcoat; in other words, he is the costume for the actor. For another actor, he needs to make a pair of new leather boots look like they have been worn for many years. To do this, he uses the technique of .

Answers

Answer:

Select the correct answer from each drop-down menu.

What tools and techniques of costume design should be used?

Donald, a costume designer, is working on a film production. For the lead female actor, he needs to alter the size of a waistcoat; in other words, he is altering

the costume for the actor. For another actor, he needs to make a pair of new leather boots look like they have been worn for many years. To do this, he uses the technique of  

ageing

.

Explanation:

I think thats the answer let me know if they arent correct

Answer:

Yes the answer is altering and aging!

Explanation:

What was the mood of the country when FDR first took office?

Answers

Answer:

When FDR took office and made his Inaugural speech the people's reactions seemed neutral. Although I wouldn't say they were happy there were some things they didn't agree with like the New Deal that FDR wanted to create this is because the people thought this New Deal was giving the government too much power and was involved in telling businesses how to operate.

Despite that New Deal situation the people of the country didn't seem to mind FDR they felt a little bit of hope especially since he was there for a lot of people during the Great Depression and WWII which has the saying 'the only we have to fear is fear itself.' Another thing people admired about him is facing all of those challenges between Germany and Japan which made him a defining figure in America. After he helped the people during the Great Depression people voted for him again giving him the win for re-election.

The time the mood of the country changed was after FDR's death in 1945 everyone was shocked over his sudden death but his Vice President, Truman had to take over his spot (as what the law suggests if something happens to the president i.e death or corruption in the result of jail time the Vice President has to take over). People were also concerned by Truman's action after he took over the office because it was still during WWII. Everyone mourned and had a lot of anxiety because of not knowing what's going to happen next.

Hope this helped :)

Help please its Algebra 1 honors

Answers

Answer:

f(x)= 50+4.25x

g(x)= 40+6.25x

(5, 71.25)

Explanation:

they are asking for the number of garmets and price of those garmets where both shops charge the same amount

if you make the two shops prices into equations you will be trying to find the line intercept

to make the lines equations

they said f(x) is cleaning company 1

g(x) is cleaning company 2

and x in the number of garmets cleaned

you can see from prices that the price does not start at 0 it has a baseline price to clean

that baseline price is the +____

113.75-92.50 to find the difference in price for 5 garmets

=21.25

21.25/5 to find raise in price per 1 garmet

=4.25

now we know its 4.25x+b

baseline price = b

to find b plug in the values on the chart (first row)

4.25(5)+b=71.25

21.25+b=71.25

b=50

baseline price = 50

store 1 price is= f(x)= 50+4.25x

im gonna run out of space ill do the second one short

103.75-72.5=31.25

31.25/5=6.25

71.25=6.25(5)+x

71.25-31.25=x

x= 40= base price

g(x)= 40+6.25x

find intersection

g(x) =y

f(x) = y

y=y

therefore

50+4.25x=40+6.25x

10+4.25x=6.25x

10+4.25x=6.25x

10=2x

x=5

to find y intersection put in x to equation

y= 50+4.25x

y= 50+4.25(5)

y=50+21.25

y=71.25

intersection is (5, 71.25)

In the adventure series, Percy Jackson & the Olympians, what is the Greek name for Percy's pen/sword

Answers

Answer:

Anaklusmos

Explanation:

It means well balanced. A gift from Zoe Nightshade to Hercules in the 3rd book.

Answer:

Anaklusmos

Explanation:

What did freedman demand after the Civil War?

Voting Rights

Citizenship

Equal rights for all.

Voting Rights and economic autonomy.

Answers

equal rights for all

Which model of democracy does Federalist No. 10 describe?(Pluralist,Participatory,or elite democracy) How do you know?

Answers

Answer:

Pluralist

Explanation:

Can you help me with question 24

Answers

Answer:

C.

Explanation:

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