What is the answer to log_{x}(3)=5 ?

The answer to log_{x}(3)=5 is x=\sqrt[5]{3}

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log_{x}(3)=5

lo g_{x} (3) = 5

Decimal Notation

x = 1.24573 \dots

Solution steps

lo g_{x} (3) = 5

Apply log rules

\frac{1}{lo g _{3} ( x )} = 5

Multiply both sides by

lo g_{3} (x)

\frac{1}{lo g _{3} ( x )} lo g_{3} (x) = 5 lo g_{3} (x)

Simplify

1 = 5 lo g_{3} (x)

Switch sides

5 lo g_{3} (x) = 1

Divide both sides by

5

lo g_{3} (x) = \frac{1}{5}

Apply log rules

Verify Solutions:

True

The solution is

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

ln (3 x) = 6.4

- 2 = lo g_{x} (\frac{1}{25})

lo g_{5} (4 x + 9) = 4

1 - ln^{2} (x) = 0

What is the answer to log_{x}(3)=5 ?
The answer to log_{x}(3)=5 is x=\sqrt[5]{3}
Solve for x: log_{x}(3)=5
The solution is x=\sqrt[5]{3}