What is the answer to log_{x}(64)=1 ?

The answer to log_{x}(64)=1 is x=64

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log_{x}(64)=1

lo g_{x} (64) = 1

x = 64

Solution steps

lo g_{x} (64) = 1

Apply log rules

\frac{1}{lo g _{64} ( x )} = 1

Multiply both sides by

lo g_{64} (x)

\frac{1}{lo g _{64} ( x )} lo g_{64} (x) = 1 \cdot lo g_{64} (x)

Simplify

1 = lo g_{64} (x)

Apply log rules

64 = x

Switch sides

x = 64

Verify Solutions:

x = 64

True

The solution is

x = 64

lo g_{10} (x) = ln (x)

lo g_{2} (2 x + 3) = lo g_{2} (x + 7)

lo g_{10} (x) = 0.83

lo g_{x} (\frac{1}{64}) = - 3

8 = lo g_{b} (256)