What is the answer to log_{x}(3)=9 ?

The answer to log_{x}(3)=9 is x=\sqrt[9]{3}

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log_{x}(3)=9

lo g_{x} (3) = 9

Decimal Notation

x = 1.12983 \dots

Solution steps

lo g_{x} (3) = 9

Apply log rules

\frac{1}{lo g _{3} ( x )} = 9

Multiply both sides by

lo g_{3} (x)

\frac{1}{lo g _{3} ( x )} lo g_{3} (x) = 9 lo g_{3} (x)

Simplify

1 = 9 lo g_{3} (x)

Switch sides

9 lo g_{3} (x) = 1

Divide both sides by

9

lo g_{3} (x) = \frac{1}{9}

Apply log rules

Verify Solutions:

True

The solution is

l (x) = lo g_{0.5} (x) - 1

lo g_{4} (x^{2} - x + 16) = 2

lo g_{10} (2 x) = 2 lo g_{10} (x)

lo g_{x} (3) = 5

2.77 - 1.61 + 0.5 ln (x) - ln (100) = 0

What is the answer to log_{x}(3)=9 ?
The answer to log_{x}(3)=9 is x=\sqrt[9]{3}
Solve for x: log_{x}(3)=9
The solution is x=\sqrt[9]{3}