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

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

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log_{x}(3)=3

lo g_{x} (3) = 3

Decimal Notation

x = 1.44224 \dots

Solution steps

lo g_{x} (3) = 3

Apply log rules

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

Multiply both sides by

lo g_{3} (x)

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

Simplify

1 = 3 lo g_{3} (x)

Switch sides

3 lo g_{3} (x) = 1

Divide both sides by

3

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

Apply log rules

Verify Solutions:

True

The solution is

lo g_{2} (m x) = c

lo g_{10} (\frac{2 x - 4}{5}) = 2

0.64 = ln (y)

lo g_{11} (2 x + 6) = lo g_{11} (- x)

x, 0 = lo g_{10} (2 x)

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