What is the answer to log_{x}(128)=2.33333 ?

The answer to log_{x}(128)=2.33333 is x=128^{1/(2.33333)}

Solve for x: log_{x}(128)=2.33333

The solution is x=128^{1/(2.33333)}

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Popular >

lo g_{x} (128) = 2.33333

x = 12 8^{\frac{1}{2.33333}}

Decimal Notation

x = 8.00002 \dots

Solution steps

lo g_{x} (128) = 2.33333

Apply log rules

\frac{1}{lo g _{128} ( x )} = 2.33333

Multiply both sides by

lo g_{128} (x)

\frac{1}{lo g _{128} ( x )} lo g_{128} (x) = 2.33333 lo g_{128} (x)

Simplify

1 = 2.33333 lo g_{128} (x)

Switch sides

2.33333 lo g_{128} (x) = 1

Divide both sides by

2.33333

lo g_{128} (x) = \frac{1}{2.33333}

Apply log rules

x = 12 8^{\frac{1}{2.33333}}

Verify Solutions:

x = 12 8^{\frac{1}{2.33333}}

True

The solution is

x = 12 8^{\frac{1}{2.33333}}

lo g_{5} (x^{2}) = 2

ln (x + 6) - ln (x - 3) = 1

lo g_{3} (4 x - 1) - 2 lo g_{3} (x) = 1

lo g_{3} (x + 3) + lo g_{3} (4 x + 7) = 2

y, x = ln (2 y + 1)

What is the answer to log_{x}(128)=2.33333 ?
The answer to log_{x}(128)=2.33333 is x=128^{1/(2.33333)}
Solve for x: log_{x}(128)=2.33333
The solution is x=128^{1/(2.33333)}