What is the answer to log_{x}(\sqrt[3]{81})=-2 ?

The answer to log_{x}(\sqrt[3]{81})=-2 is x= 1/(e^{\frac{2ln(3)){3}}}

Solve for x: log_{x}(\sqrt[3]{81})=-2

The solution is x= 1/(e^{\frac{2ln(3)){3}}}

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lo g_{x} (381) = - 2

x = \frac{1}{e ^{\frac{2 l n ( 3 )}{3}}}

Decimal

x = 0.48074 \dots

Solution steps

lo g_{x} (381) = - 2

Apply log rules

\frac{ln ( 3 81 )}{ln ( x )} = - 2

Multiply both sides by

ln (x)

\frac{ln ( 3 81 )}{ln ( x )} ln (x) = - 2 ln (x)

Apply log rules

x = \frac{1}{e ^{\frac{2 l n ( 3 )}{3}}}

Verify Solutions:

x = \frac{1}{e ^{\frac{2 l n ( 3 )}{3}}}

True

The solution is

x = \frac{1}{e ^{\frac{2 l n ( 3 )}{3}}}

(ln (x))^{2} - ln (x^{2}) + 1 = 0

lo g_{2} (3 - x) = 0

ln (4 x e^{x - 1}) = x

lo g_{x} (0.125) = 2

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

What is the answer to log_{x}(\sqrt[3]{81})=-2 ?
The answer to log_{x}(\sqrt[3]{81})=-2 is x= 1/(e^{\frac{2ln(3)){3}}}
Solve for x: log_{x}(\sqrt[3]{81})=-2
The solution is x= 1/(e^{\frac{2ln(3)){3}}}