What is the answer to log_{x}(9)=14 ?

The answer to log_{x}(9)=14 is x=\sqrt[7]{3}

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log_{x}(9)=14

lo g_{x} (9) = 14

Decimal Notation

x = 1.16993 \dots

Solution steps

lo g_{x} (9) = 14

Apply log rules

\frac{1}{lo g _{9} ( x )} = 14

Multiply both sides by

lo g_{9} (x)

\frac{1}{lo g _{9} ( x )} lo g_{9} (x) = 14 lo g_{9} (x)

Simplify

1 = 14 lo g_{9} (x)

Switch sides

14 lo g_{9} (x) = 1

Divide both sides by

14

lo g_{9} (x) = \frac{1}{14}

Apply log rules

Verify Solutions:

True

The solution is

20 + 6 ln (x - 2) = 36

lo g_{10} (x) = 13.7

155 = 40 lo g_{10} (500 t + 1)

ln (x) = 2 + ln (3)

64 n \cdot lo g_{2} (n) = 8 n^{2}

What is the answer to log_{x}(9)=14 ?
The answer to log_{x}(9)=14 is x=\sqrt[7]{3}
Solve for x: log_{x}(9)=14
The solution is x=\sqrt[7]{3}