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

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

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5=log_{x}(1/32)

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

x = \frac{1}{2}

Solution steps

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

Apply log rules

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

Multiply both sides by

ln (x)

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

Apply log rules

x = \frac{1}{2}

Verify Solutions:

x = \frac{1}{2}

True

The solution is

x = \frac{1}{2}

lo g_{3} ((11 x + 30)^{4}) = 16

lo g_{23} (5 x - 1) = 2

2 lo g_{10} (5 x) = 6

2 ln (n) = ln (n^{2})

lo g_{2} (x + 8) = \frac{2}{21}