What is the answer to log_{x}(144)=2 ?

The answer to log_{x}(144)=2 is x=12

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log_{x}(144)=2

lo g_{x} (144) = 2

x = 12

Solution steps

lo g_{x} (144) = 2

Apply log rules

\frac{1}{lo g _{144} ( x )} = 2

Multiply both sides by

lo g_{144} (x)

\frac{1}{lo g _{144} ( x )} lo g_{144} (x) = 2 lo g_{144} (x)

Simplify

1 = 2 lo g_{144} (x)

Switch sides

2 lo g_{144} (x) = 1

Divide both sides by

2

lo g_{144} (x) = \frac{1}{2}

Apply log rules

x = 12

Verify Solutions:

x = 12

True

The solution is

x = 12

x + ln (x) = 0

ln (y) + 1 = 0

ln (5 x + 3) = 6

ln (5 x) - 2 ln (x^{2}) = 0

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