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

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

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log_{t}(8)=3

lo g_{t} (8) = 3

t = 2

Solution steps

lo g_{t} (8) = 3

Apply log rules

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

Multiply both sides by

lo g_{8} (t)

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

Simplify

1 = 3 lo g_{8} (t)

Switch sides

3 lo g_{8} (t) = 1

Divide both sides by

3

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

Apply log rules

t = 2

Verify Solutions:

t = 2

True

The solution is

t = 2

lo g_{10} (x) = - lo g_{10} (3)

lo g_{10} (x^{2} - 1) = 3

lo g_{10} (x) = 11 - x

ln (ln (x)) = - 1.4

lo g_{2 x} (1 - 3 x) = 2