What is the answer to log_{3}(81^x)=16 ?

The answer to log_{3}(81^x)=16 is x=4

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log_{3}(81^x)=16

lo g_{3} (8 1^{x}) = 16

x = 4

Solution steps

lo g_{3} (8 1^{x}) = 16

Rewrite the equation with

8 1^{x} = u

lo g_{3} (u) = 16

Solve

lo g_{3} (u) = 16 : u = 43046721

u = 43046721

Substitute back

u = 8 1^{x},

solve for

x

Solve

8 1^{x} = 43046721 : x = 4

x = 4

3 e^{5 x} = 10

1 + 6 e^{- t} = e^{t}

7^{x} = 9

7^{x} = 0

\frac{9 ^{2 x - 3}}{3 ^{x - 2}} = 256