What is the answer to log_{x}(3125)=-5 ?

The answer to log_{x}(3125)=-5 is x= 1/5

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log_{x}(3125)=-5

lo g_{x} (3125) = - 5

x = \frac{1}{5}

Decimal Notation

x = 0.2

Solution steps

lo g_{x} (3125) = - 5

Apply log rules

\frac{1}{lo g _{3125} ( x )} = - 5

Multiply both sides by

lo g_{3125} (x)

\frac{1}{lo g _{3125} ( x )} lo g_{3125} (x) = - 5 lo g_{3125} (x)

Simplify

1 = - 5 lo g_{3125} (x)

Switch sides

- 5 lo g_{3125} (x) = 1

Divide both sides by

- 5

lo g_{3125} (x) = - \frac{1}{5}

Apply log rules

x = \frac{1}{5}

Verify Solutions:

x = \frac{1}{5}

True

The solution is

x = \frac{1}{5}

lo g_{4} (192) - lo g_{4} (3 x) = 2

- 17500 = - (8.314) (298) ln (x)

2 ln (x) - 1 = 0

\frac{1}{x} = e^{- l n (x)}

2 ln (x) = - x + 4

What is the answer to log_{x}(3125)=-5 ?
The answer to log_{x}(3125)=-5 is x= 1/5
Solve for x: log_{x}(3125)=-5
The solution is x= 1/5