Question

What is the solution to the equation 36^3c = square root of 6^ (6c – 8) ?

Answer 1

this your equation?:
\[\large 36^{3c}=\sqrt{6^{6c-8}}\]

Answer 2

\[\large 36^{3c}=\sqrt{6^{6c-8}}\]
\[\large (6^2)^{3c}=\sqrt{6^{6c-8}}\]
\[\large (6)^{6c}=(6^{6c-8})^{1/2}\]
\[\large 6^{6c}=6^{3c-4}\]
\[6c=3c-4\]
now just solve for c...