The equation is .
Apply power property of logarithm: .
Apply product property logarithm: .
Apply Property of equality for logarithmic functions .
Divide each side by 0.1.
\ (Power of
)
Apply square roots on each side and eliminate squares.
\Check:-
\To check the solution, substitute in
. \ \
Apply power property of logarithm: .
Apply product property logarithm: .
The solution is true.
The solution is .