What is the answer to log_{x}(9)=81 ?

The answer to log_{x}(9)=81 is x=\sqrt[81]{9}

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log_{x}(9)=81

lo g_{x} (9) = 81

Decimal Notation

x = 1.02749 \dots

Solution steps

lo g_{x} (9) = 81

Apply log rules

\frac{1}{lo g _{9} ( x )} = 81

Multiply both sides by

lo g_{9} (x)

\frac{1}{lo g _{9} ( x )} lo g_{9} (x) = 81 lo g_{9} (x)

Simplify

1 = 81 lo g_{9} (x)

Switch sides

81 lo g_{9} (x) = 1

Divide both sides by

81

lo g_{9} (x) = \frac{1}{81}

Apply log rules

Verify Solutions:

True

The solution is

lo g_{4} (x^{7}) = - 1

lo g_{10} (t^{2} - 3 t) = 1

lo g_{4} (x^{7}) = - 6

- x + ln (x) 0.2 x = 0

15 = 25420 + 1581394 \cdot ln (x)

What is the answer to log_{x}(9)=81 ?
The answer to log_{x}(9)=81 is x=\sqrt[81]{9}
Solve for x: log_{x}(9)=81
The solution is x=\sqrt[81]{9}