Introduce new variable u = .
Then your equation becomes
= 0.
Factor left side
(u-6)*(u+5) = 0.
The two roots to the last equation are u= 6 and u= -5,
but since u = , only positive root works u = 6,
which gives = 6; Hence, 5x = 1 and x= 0.2.
Solved.
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Introducing new variable is the STANDARD method of solving exponential equations.
