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

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

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3=log_{b}(27)

3 = lo g_{b} (27)

b = 3

Solution steps

3 = lo g_{b} (27)

Apply log rules

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

Multiply both sides by

lo g_{27} (b)

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

Simplify

3 lo g_{27} (b) = 1

Divide both sides by

3

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

Apply log rules

b = 3

Verify Solutions:

b = 3

True

The solution is

b = 3

2 = lo g_{t} (9)

ln (x) = 8 - x

6 ln (2 x) = 30

lo g_{3} (x - 5) = 5

\frac{1}{5} lo g_{x} (16) = - 1.6