What is the answer to log_{b}(8)=3 ?

The answer to log_{b}(8)=3 is b=2

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log_{b}(8)=3

lo g_{b} (8) = 3

b = 2

Solution steps

lo g_{b} (8) = 3

Apply log rules

\frac{1}{lo g _{8} ( b )} = 3

Multiply both sides by

lo g_{8} (b)

\frac{1}{lo g _{8} ( b )} lo g_{8} (b) = 3 lo g_{8} (b)

Simplify

1 = 3 lo g_{8} (b)

Switch sides

3 lo g_{8} (b) = 1

Divide both sides by

3

lo g_{8} (b) = \frac{1}{3}

Apply log rules

b = 2

Verify Solutions:

b = 2

True

The solution is

b = 2

2 ln (3 x) = 8

24 \cdot lo g_{10} (2 x) = 60

lo g_{10} (3 x) + lo g_{10} (9 x) = 1

y, ln (y - 38) = 5 t

lo g_{16} (x + 1) = \frac{1}{2}