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

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

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2=log_{x}(9)

2 = lo g_{x} (9)

x = 3

Solution steps

2 = lo g_{x} (9)

Apply log rules

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

Multiply both sides by

lo g_{9} (x)

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

Simplify

2 lo g_{9} (x) = 1

Divide both sides by

2

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

Apply log rules

x = 3

Verify Solutions:

x = 3

True

The solution is

x = 3

lo g_{10} (\frac{2}{x}) = - 2

lo g_{3} (2 x - 1) = 4

ln (x^{2} - 63) = 0

x, ln (x) = \frac{t}{2} + c

4 lo g_{5} (x) + 3 lo g_{5} (x) = 175