What is the answer to 3log_{x}(81)=-12 ?

The answer to 3log_{x}(81)=-12 is x= 1/3

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3log_{x}(81)=-12

3 lo g_{x} (81) = - 12

x = \frac{1}{3}

Decimal Notation

x = 0.33333 \dots

Solution steps

3 lo g_{x} (81) = - 12

Divide both sides by

3

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 = \frac{1}{3}

Verify Solutions:

x = \frac{1}{3}

True

The solution is

x = \frac{1}{3}

lo g_{a} (x + 1) = 1 + lo g_{a} (x)

lo g_{4} (5 x - 9) - 2 = 0

lo g_{8} (x + 4) = 2

ln (y) = \frac{1}{2}

ln (x) = 1 + ln (x - 2)

What is the answer to 3log_{x}(81)=-12 ?
The answer to 3log_{x}(81)=-12 is x= 1/3
Solve for x: 3log_{x}(81)=-12
The solution is x= 1/3