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

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

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log_{b}(27)=3

lo g_{b} (27) = 3

b = 3

Solution steps

lo g_{b} (27) = 3

Apply log rules

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

Multiply both sides by

lo g_{27} (b)

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

Simplify

1 = 3 lo g_{27} (b)

Switch sides

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

4.5 = - lo g_{10} (x)

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

4 ln (2 x - 1) + 3 = 11

lo g_{2} (- 5 x + 9) = 2

lo g_{10} (x) = 0.9