What is the answer to log_{x}(0.125)=-3 ?

The answer to log_{x}(0.125)=-3 is x=2

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log_{x}(0.125)=-3

lo g_{x} (0.125) = - 3

x = 2

Solution steps

lo g_{x} (0.125) = - 3

Apply log rules

\frac{1}{lo g _{0.125} ( x )} = - 3

Multiply both sides by

lo g_{0.125} (x)

\frac{1}{lo g _{0.125} ( x )} lo g_{0.125} (x) = - 3 lo g_{0.125} (x)

Apply log rules

x = 2

Verify Solutions:

x = 2

True

The solution is

x = 2

lo g_{10} (5) + lo g_{10} (4 x + 1) = 0

ln (7 x) - 6 ln (x^{2}) = ln (2)

lo g_{x} (3125) = - 5

lo g_{4} (192) - lo g_{4} (3 x) = 2

- 17500 = - (8.314) (298) ln (x)

What is the answer to log_{x}(0.125)=-3 ?
The answer to log_{x}(0.125)=-3 is x=2
Solve for x: log_{x}(0.125)=-3
The solution is x=2