What is the answer to 2=log_{t}(9) ?

The answer to 2=log_{t}(9) is t=3

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2=log_{t}(9)

2 = lo g_{t} (9)

t = 3

Solution steps

2 = lo g_{t} (9)

Apply log rules

2 = \frac{1}{lo g _{9} ( t )}

Multiply both sides by

lo g_{9} (t)

2 lo g_{9} (t) = \frac{1}{lo g _{9} ( t )} lo g_{9} (t)

Simplify

2 lo g_{9} (t) = 1

Divide both sides by

2

lo g_{9} (t) = \frac{1}{2}

Apply log rules

t = 3

Verify Solutions:

t = 3

True

The solution is

t = 3

ln (x) = 8 - x

6 ln (2 x) = 30

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

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

lo g_{3} (- 9 x) - 10 = - 6