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

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

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log_{5}(1/(5x))=-1

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

x = 1

Solution steps

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

Apply log rules

\frac{1}{5 x} = 5^{- 1}

Multiply both sides by

5 x

\frac{1}{5 x} \cdot 5 x = 5^{- 1} \cdot 5 x

Simplify

5^{- 1} \cdot 5 x : x

1 = x

Switch sides

x = 1

Verify Solutions:

x = 1

True

The solution is

x = 1

lo g_{b} (36) = 2

lo g_{x + 3} (2 x^{2} - 5 x + 9) = 2

6 + 5 ln (x) = 3

lo g_{2} (x) = lo g_{8} (15)

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

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