Question

if 36^12-m=6^2m, what is the value of m?

Answer 1

Try rewriting 36^12 as a base of 6:
\[36^{12}=6^{2m} \iff (6^2)^{12}=6^{2m}\]

Answer 2

Thank you!!!

Answer 3

Glad to help.

Answer 4

So m would equal 6?

Answer 5

That's incorrect :(

Answer 6

Try making use of the property:
\[(A^m)^n=A^{m.n}\]

Answer 7

This is what I have so far:
(6^2)^(12-m)=6^2m
6^24-2m=6^2m
24-2m=2m
24=4m
m=6

What am I doing wrong?

Answer 8

Ah, that's a fault from my part, I did not see the "-m" there, Sorry.
You are correct.
Well done!

Answer 9

Awesome! Thank you so much!