What is the answer to log_{X}(36)=2 ?

The answer to log_{X}(36)=2 is X=6

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log_{X}(36)=2

lo g_{X} (36) = 2

X = 6

Solution steps

lo g_{X} (36) = 2

Apply log rules

\frac{1}{lo g _{36} ( X )} = 2

Multiply both sides by

lo g_{36} (X)

\frac{1}{lo g _{36} ( X )} lo g_{36} (X) = 2 lo g_{36} (X)

Simplify

1 = 2 lo g_{36} (X)

Switch sides

2 lo g_{36} (X) = 1

Divide both sides by

2

lo g_{36} (X) = \frac{1}{2}

Apply log rules

X = 6

Verify Solutions:

X = 6

True

The solution is

X = 6

ln (x) = ln (5) + ln (x + 3)

lo g_{4} (6 x) + lo g_{4} (x - 4) = 2

ln (x) - x \cdot ln (0.05) = 0

y, ln (y) = ln (5 x) + c

2 ln (5) = ln (- 25 + c)