Solve for x

Discussion in 'Other Pre-University Math' started by nycmathguy, Jun 20, 2022.

1. nycmathguy

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nycmathguy, Jun 20, 2022
2. MathLover1

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8(4^(6-2x))+13=41

8(4^(6-2x))=41-13

8(4^(6-2x))=28

4^(6-2x))=28/8

4^(6-2x))=7/2............take log of both sides

log((4^(6-2x))=log(7/2)

(6-2x)log(4)=log(7)-log(2)

(6-2x)=(log(7)-log(2))/log(2^2)

6-2x=(log(7)-log(2))/(2log(2))

6-(log(7)-log(2))/(2log(2))=2x

2x=13/2 - log(7)/(2 log(2))

x=(13/2 - log(7)/(2 log(2)))/2

x=13/4 - log(7)/(4log(2))

MathLover1, Jun 20, 2022
nycmathguy likes this.
3. nycmathguy

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1. No need to reply the same day.

2. I want you to use Wolfram or LaTex. It is a lot easier for someone studying math to read replies when correct math LaTex is used, even it takes you days to provide a detailed reply to each thread.

nycmathguy, Jun 20, 2022
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