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

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

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3=log_{t}(8)

3 = lo g_{t} (8)

t = 2

Solution steps

3 = lo g_{t} (8)

Apply log rules

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

Multiply both sides by

lo g_{8} (t)

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

Simplify

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

ln (x + 2) = - 1 - ln (x)

lo g_{x} (121) = 3

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

\frac{ln ( x )}{x} = 0

lo g_{25} (x) = - \frac{3}{2}