What is the answer to log_{x}(0.125)=2 ?

The answer to log_{x}(0.125)=2 is x= 1/(2sqrt(2))

Solve for x: log_{x}(0.125)=2

The solution is x= 1/(2sqrt(2))

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lo g_{x} (0.125) = 2

x = \frac{1}{2 2}

Decimal

x = 0.35355 \dots

Solution steps

lo g_{x} (0.125) = 2

Apply log rules

\frac{1}{lo g _{0.125} ( x )} = 2

Multiply both sides by

lo g_{0.125} (x)

\frac{1}{lo g _{0.125} ( x )} lo g_{0.125} (x) = 2 lo g_{0.125} (x)

Apply log rules

x = \frac{1}{2 2}

Verify Solutions:

x = \frac{1}{2 2}

True

The solution is

x = \frac{1}{2 2}

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

1 + lo g_{x} (125) = 6

lo g_{x} (27) = x

ln (x + 12) - ln (x) = 5

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

What is the answer to log_{x}(0.125)=2 ?
The answer to log_{x}(0.125)=2 is x= 1/(2sqrt(2))
Solve for x: log_{x}(0.125)=2
The solution is x= 1/(2sqrt(2))