Question

Solve for x.

3^(x-2)=5^x

Answer 1

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

Answer 2

oh wait i think i got it

Answer 3

\[\log_{3}5^x=x-2 \]
\[x \log_{3}5=x-2 \] is this right?

Answer 4

we have:
\[\left( \frac{ 3 }{ 5 } \right)^{x}=9\]
then:
\[x \log _{10}(3/5)=2 \log _{10}3\]
and:
\[x=\frac{ 2 \log _{10}3 }{ \log _{10}(3/5) }\]

Answer 5

yes! it is!

Answer 6

Awesome, I totally forgot i had to use that rule