Question

7^x-2 = 5^3-x

Answer 1

\[7^{x-2} = 5^{3-x} \LARGE\]
?

Answer 2

yes, that is it. 7^(x-2) = 5^(3-x)

Answer 3

I don't think you can solve this, try it your own

Answer 4

it has to do with logs

Answer 5

Yes, but you can't find a real solution

Answer 6

i can

Answer 7

\[\begin{align}7^{x-2}&=5^{3-x}\\
\frac{7^x}{7^2}&=\frac{5^3}{5^x}\\
5^x\cdot7^x&=5^3\cdot7^2\\
(5\times7)^x&=5^3\cdot7^2\\
\log_{(5\times7)}(5\times7)^x&=\log_{(5\times7)}(5^3\cdot7^2)\\
x&=\frac{\log(5^3\cdot7^2)}{\log{(5\times7)}}
\end{align}\]

Answer 8

or ln both sides, lol

Answer 9

damme wolf gives 'no solution', I guess im just being lazy :P