What is the answer to 5=-log_{10}(x) ?

The answer to 5=-log_{10}(x) is x= 1/100000

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5=-log_{10}(x)

5 = - lo g_{10} (x)

x = \frac{1}{100000}

Decimal Notation

x = 0.00001

Solution steps

5 = - lo g_{10} (x)

Move

lo g_{10} (x)

to the left side

5 + lo g_{10} (x) = 0

Move

5

to the right side

lo g_{10} (x) = - 5

Apply log rules

x = \frac{1}{100000}

Verify Solutions:

x = \frac{1}{100000}

True

The solution is

x = \frac{1}{100000}

lo g_{10} (x) + lo g_{10} (2) = 2

ln ∣ x ∣ = x - 2

lo g_{36} (x) = \frac{1}{2}

lo g_{125} (x) = \frac{1}{3}

lo g_{x} (8) = - 3

What is the answer to 5=-log_{10}(x) ?
The answer to 5=-log_{10}(x) is x= 1/100000
Solve for x: 5=-log_{10}(x)
The solution is x= 1/100000