So, here's another question that I am having trouble with:

[(2log(5)x) / (log(5)3)] - log(5)y = 2

I followed the steps that were used in a sample question just like this one and I still got the wrong answer... or I just don't know how to finish it. Here's what I've done:

(2/log(5)3) * log(5)x = 2 + log(5)y

log(5)x^{2/log(5)3} = 2log(5)5 + log(5)y

log(5)x^{2/log(5)3} = log(5)(25y)

x^{2/log(5)3} = 25y

y = (x^{2/log(5)3}) / 25

The text solution is:

y = [(x^{2})/9] ^{1/(log(5)3)}

I'm lost. Help please!

Avoid making multiple threads

https://www.askmehelpdesk.com/high-school/properties-logarithms-solve-y-terms-x-503610.html

Thanks!