What is the answer to log_{x}(1/8)=-1.5 ?

The answer to log_{x}(1/8)=-1.5 is x=4

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log_{x}(1/8)=-1.5

lo g_{x} (\frac{1}{8}) = - 1.5

x = 4

Solution steps

lo g_{x} (\frac{1}{8}) = - 1.5

Apply log rules

\frac{ln ( \frac{1}{8} )}{ln ( x )} = - 1.5

Multiply both sides by

ln (x)

\frac{ln ( \frac{1}{8} )}{ln ( x )} ln (x) = - 1.5 ln (x)

Apply log rules

x = 4

Verify Solutions:

x = 4

True

The solution is

x = 4

\frac{lo g _{10} ( 2 x )}{lo g _{10} ( 14 )} = 1

- lo g_{a} (x)

5 = x^{3} lo g_{1} (x)

y, x = - ln (y)

lo g_{10} (5 x - 1) = lo g_{10} (2) + lo g_{10} (7)

What is the answer to log_{x}(1/8)=-1.5 ?
The answer to log_{x}(1/8)=-1.5 is x=4
Solve for x: log_{x}(1/8)=-1.5
The solution is x=4