Question

What is the solution to the equation 36^3c = sqr 6^(8c - 6) ?

Answer 1

\[36^{3 c}=\sqrt{6}^{8 c-6}\]

Answer 2

yes

Answer 3

\[6^2=36 ~~~~~ \sqrt6 =6^{1/2}\]
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\[6^{6c}=6^{(1/2)(8c-6)}\]
6c=(1/2)(8c-6)
Solve

Answer 4

c=-4/3?

Answer 5

no,
\[6c=\frac{8c-6}{2}\]

Answer 6

-3/2?

Answer 7

yes :)

Answer 8

THANKS!