Question

5^(x+2)= 2^(3-x)

Answer 1

What do you want to do with the problem?

Factor
Simplify
Solve for x

??

Answer 2

Solve for X

Answer 3

Hit both sides with log.

Answer 4

\(\Huge\color{blue}{ \sf 5^{(x+2)}= 2^{(3-x)} }\)


\(\Large\color{blue}{ \sf (x+2)Log5= (3-x)Log2 }\)

Answer 5

I logged both with the same log

Answer 6

\(\Large\color{blue}{ \sf \frac{(x+2)}{(3-x)} = \frac{Log5}{Log2}=Log_25 }\)

Answer 7

Ok I understand the first two parts of your last post but not your final answer.

Answer 8

I am solving for X so does x = \[\log_{2} 5\]?

Answer 9

Nope

Answer 10

Don't divide

Answer 11

Expand (x+2)Log5=(3−x)Log2

Answer 12

\[x\log5+2\log5=3\log2-x\log2\]

Answer 13

\[x(\log5+\log2)=3\log2-2\log5\]

Answer 14

\[x=\frac{3\log2-2\log5}{\log5+\log2}=\cdots\]