What is the answer to log_{X}(81)=4 ?

The answer to log_{X}(81)=4 is X=3

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log_{X}(81)=4

lo g_{X} (81) = 4

X = 3

Solution steps

lo g_{X} (81) = 4

Apply log rules

\frac{1}{lo g _{81} ( X )} = 4

Multiply both sides by

lo g_{81} (X)

\frac{1}{lo g _{81} ( X )} lo g_{81} (X) = 4 lo g_{81} (X)

Simplify

1 = 4 lo g_{81} (X)

Switch sides

4 lo g_{81} (X) = 1

Divide both sides by

4

lo g_{81} (X) = \frac{1}{4}

Apply log rules

X = 3

Verify Solutions:

X = 3

True

The solution is

X = 3

3 lo g_{10} (x) = - 6

5 lo g_{3} (2) = lo g_{3} (x)

ln (x^{2} + 1) = a

lo g_{4} (256) + lo g_{s} (16) = 6

ln (x) = - 2 ln (\frac{1}{3})