What is the answer to log_{x}(625)=4 ?

The answer to log_{x}(625)=4 is x=5

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log_{x}(625)=4

lo g_{x} (625) = 4

x = 5

Solution steps

lo g_{x} (625) = 4

Apply log rules

\frac{1}{lo g _{625} ( x )} = 4

Multiply both sides by

lo g_{625} (x)

\frac{1}{lo g _{625} ( x )} lo g_{625} (x) = 4 lo g_{625} (x)

Simplify

1 = 4 lo g_{625} (x)

Switch sides

4 lo g_{625} (x) = 1

Divide both sides by

4

lo g_{625} (x) = \frac{1}{4}

Apply log rules

x = 5

Verify Solutions:

x = 5

True

The solution is

x = 5

ln (6) + ln (x) - ln (2) = 3

lo g_{3} (4 x - 5) = lo g_{3} (2 x + 1)

lo g_{2} (x) - 3 = 1

lo g_{2} (x) = 1

ln (x - 3) = 2