What is the answer to log_{x}(1/243)=5 ?

The answer to log_{x}(1/243)=5 is x= 1/3

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log_{x}(1/243)=5

lo g_{x} (\frac{1}{243}) = 5

x = \frac{1}{3}

Decimal Notation

x = 0.33333 \dots

Solution steps

lo g_{x} (\frac{1}{243}) = 5

Apply log rules

\frac{ln ( \frac{1}{243} )}{ln ( x )} = 5

Multiply both sides by

ln (x)

\frac{ln ( \frac{1}{243} )}{ln ( x )} ln (x) = 5 ln (x)

Apply log rules

x = \frac{1}{3}

Verify Solutions:

x = \frac{1}{3}

True

The solution is

x = \frac{1}{3}

lo g_{4} (\frac{2 b + 4}{3 b - 2}) = 4

x, ln (\frac{x}{y}) = 1

lo g_{55} (x) = 1

lo g_{3} (6 x - 7) = 2

lo g_{4} (3 x + 1) = 3

What is the answer to log_{x}(1/243)=5 ?
The answer to log_{x}(1/243)=5 is x= 1/3
Solve for x: log_{x}(1/243)=5
The solution is x= 1/3