Question

exponent/log question: if 25^2c=sqrt(5)^(4c-14) does c equal 7?

Answer 1

I assume you mean this:
\[25^{2c}=\sqrt5^{4c-14}\]

Answer 2

Yes! Look at you and your brilliant use of text formatting. :)

Answer 3

OK, in that case we can take the log base 5 of both sides.
\[2\times2c=1/2\times(4c-14)\]
Solve for c.

Answer 4

Do I distribute the half first? which would make it 2c-7, sorry, my algebra's a little dusty.

Answer 5

I got -7/2.

Answer 6

Yes, distribute the half. You've got it!

Answer 7

Sweet! Thank you very much!