What is the answer to log_{x}(64)=6 ?

The answer to log_{x}(64)=6 is x=2

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log_{x}(64)=6

lo g_{x} (64) = 6

x = 2

Solution steps

lo g_{x} (64) = 6

Apply log rules

\frac{1}{lo g _{64} ( x )} = 6

Multiply both sides by

lo g_{64} (x)

\frac{1}{lo g _{64} ( x )} lo g_{64} (x) = 6 lo g_{64} (x)

Simplify

1 = 6 lo g_{64} (x)

Switch sides

6 lo g_{64} (x) = 1

Divide both sides by

6

lo g_{64} (x) = \frac{1}{6}

Apply log rules

x = 2

Verify Solutions:

x = 2

True

The solution is

x = 2

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

lo g_{10} (4 x) = 2

lo g_{9} (x) = - 2

x, ln (y) = ln (x) + c

lo g_{49} (x) = \frac{1}{2}