What is the answer to 3=log_{y}(64) ?

The answer to 3=log_{y}(64) is y=4

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3=log_{y}(64)

3 = lo g_{y} (64)

y = 4

Solution steps

3 = lo g_{y} (64)

Apply log rules

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

Multiply both sides by

lo g_{64} (y)

3 lo g_{64} (y) = \frac{1}{lo g _{64} ( y )} lo g_{64} (y)

Simplify

3 lo g_{64} (y) = 1

Divide both sides by

3

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

Apply log rules

y = 4

Verify Solutions:

y = 4

True

The solution is

y = 4

lo g_{10} (x) + 1 = 0

\frac{25}{2 + ln ( 3 x )} = 5

(ln (x))^{2} + 2 ln (x) = 0

lo g_{4} (1 + x^{2}) = 0.25

ln (x) = 1 + ln (x + 2)