What is the answer to log_{a}(27)=3 ?

The answer to log_{a}(27)=3 is a=3

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log_{a}(27)=3

lo g_{a} (27) = 3

a = 3

Solution steps

lo g_{a} (27) = 3

Apply log rules

\frac{1}{lo g _{27} ( a )} = 3

Multiply both sides by

lo g_{27} (a)

\frac{1}{lo g _{27} ( a )} lo g_{27} (a) = 3 lo g_{27} (a)

Simplify

1 = 3 lo g_{27} (a)

Switch sides

3 lo g_{27} (a) = 1

Divide both sides by

3

lo g_{27} (a) = \frac{1}{3}

Apply log rules

a = 3

Verify Solutions:

a = 3

True

The solution is

a = 3

2 x + ln (x) = 0

w, 0 = 20 lo g_{10} (w)

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

lo g_{6} (x + 9) - lo g_{36} (x) = 1

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