What is the answer to 2=log_{x}(625) ?

The answer to 2=log_{x}(625) is x=25

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2=log_{x}(625)

2 = lo g_{x} (625)

x = 25

Solution steps

2 = lo g_{x} (625)

Apply log rules

2 = \frac{1}{lo g _{625} ( x )}

Multiply both sides by

lo g_{625} (x)

2 lo g_{625} (x) = \frac{1}{lo g _{625} ( x )} lo g_{625} (x)

Simplify

2 lo g_{625} (x) = 1

Divide both sides by

2

lo g_{625} (x) = \frac{1}{2}

Apply log rules

x = 25

Verify Solutions:

x = 25

True

The solution is

x = 25

lo g_{3} (x + 2) = 1.732

lo g_{10} (\frac{1}{x}) = - 8.45

lo g_{32} (x) = 2

0 = lo g_{10} (2 x + 3)

lo g_{X} (36) = 2