What is the answer to log_{x}(4)=9 ?

The answer to log_{x}(4)=9 is x=\sqrt[9]{4}

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log_{x}(4)=9

lo g_{x} (4) = 9

Decimal Notation

x = 1.16652 \dots

Solution steps

lo g_{x} (4) = 9

Apply log rules

\frac{1}{lo g _{4} ( x )} = 9

Multiply both sides by

lo g_{4} (x)

\frac{1}{lo g _{4} ( x )} lo g_{4} (x) = 9 lo g_{4} (x)

Simplify

1 = 9 lo g_{4} (x)

Switch sides

9 lo g_{4} (x) = 1

Divide both sides by

9

lo g_{4} (x) = \frac{1}{9}

Apply log rules

Verify Solutions:

True

The solution is

x, - 2 ln (x) = ln (u)

2 lo g_{10} (x) = lo g_{10} (5 x - 6)

ln (x - 1) - ln (6 - x) = 0

lo g_{6} (25) = 2 lo g_{6} (x)

ln ((x - 2) (x - \frac{1}{2})) = 0

What is the answer to log_{x}(4)=9 ?
The answer to log_{x}(4)=9 is x=\sqrt[9]{4}
Solve for x: log_{x}(4)=9
The solution is x=\sqrt[9]{4}