What is the answer to log_{x}(1/32)=5 ?

The answer to log_{x}(1/32)=5 is x= 1/2

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log_{x}(1/32)=5

lo g_{x} (\frac{1}{32}) = 5

x = \frac{1}{2}

Decimal Notation

x = 0.5

Solution steps

lo g_{x} (\frac{1}{32}) = 5

Apply log rules

\frac{ln ( \frac{1}{32} )}{ln ( x )} = 5

Multiply both sides by

ln (x)

\frac{ln ( \frac{1}{32} )}{ln ( x )} ln (x) = 5 ln (x)

Apply log rules

x = \frac{1}{2}

Verify Solutions:

x = \frac{1}{2}

True

The solution is

x = \frac{1}{2}

0.82 = ln (y)

y, x = ln (y^{2})

0.22 = lo g_{10} (x)

lo g_{10} (x^{3} - 9) = 2

lo g_{4} (2) - lo g_{4} (y) = 1