What is the answer to log_{p}(16)=2 ?

The answer to log_{p}(16)=2 is p=4

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log_{p}(16)=2

lo g_{p} (16) = 2

p = 4

Solution steps

lo g_{p} (16) = 2

Apply log rules

\frac{1}{lo g _{16} ( p )} = 2

Multiply both sides by

lo g_{16} (p)

\frac{1}{lo g _{16} ( p )} lo g_{16} (p) = 2 lo g_{16} (p)

Simplify

1 = 2 lo g_{16} (p)

Switch sides

2 lo g_{16} (p) = 1

Divide both sides by

2

lo g_{16} (p) = \frac{1}{2}

Apply log rules

p = 4

Verify Solutions:

p = 4

True

The solution is

p = 4

ln (\frac{x ^{2} - 4}{x - 1}) = 0

lo g_{2} ((2 x + 14)^{3}) = 18

lo g_{3} (lo g_{2} (x + 12)) = 2

- 10.216 = ln (10 x)

ln (2 x + 3) + ln (3 x) = 2