What is the answer to log_{x}(16)=0.8 ?

The answer to log_{x}(16)=0.8 is x=32

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log_{x}(16)=0.8

lo g_{x} (16) = 0.8

x = 32

Solution steps

lo g_{x} (16) = 0.8

Apply log rules

\frac{1}{lo g _{16} ( x )} = 0.8

Multiply both sides by

lo g_{16} (x)

\frac{1}{lo g _{16} ( x )} lo g_{16} (x) = 0.8 lo g_{16} (x)

Simplify

1 = 0.8 lo g_{16} (x)

Switch sides

0.8 lo g_{16} (x) = 1

Divide both sides by

0.8

lo g_{16} (x) = 1.25

Apply log rules

x = 32

Verify Solutions:

x = 32

True

The solution is

x = 32

ln (x) = 2.26

e^{l n (1 + x)} = 1 + x

lo g_{x} (125) = - \frac{3}{2}

\frac{- 1}{3} = lo g_{27} (x)

4 lo g_{2} (\frac{3}{m}) = 8