HELP PLEASE! this is an AoPS Problem.

Question

-1

829

1

+3

For what value of \(x\) does \( 216 \times6^{6} = 6^{x}+6^{x}+6^{x}+6^{x}+6^{x}+6^{x}?\)

sylviaj456 Jul 19, 2020

ElectricPavlov · Answer 1 · 2020-07-19T05:16:37

216 x 6⁶ = 6 (6^x)

36 x 6⁶= 6^x

6² x6⁶

6⁸= 6^{x x = 8}