What is the answer to 3=log_{10}((10^5)/x) ?

The answer to 3=log_{10}((10^5)/x) is x=100

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3=log_{10}((10^5)/x)

3 = lo g_{10} (\frac{1 0 ^{5}}{x})

x = 100

Solution steps

3 = lo g_{10} (\frac{1 0 ^{5}}{x})

Apply log rules

1 0^{3} = \frac{1 0 ^{5}}{x}

Multiply both sides by

x

1 0^{3} x = \frac{1 0 ^{5}}{x} x

Simplify

1000 x = 100000

Solve

1000 x = 100000 : x = 100

x = 100

Verify Solutions:

x = 100

True

The solution is

x = 100

0.85 = lo g_{10} (x)

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

lo g_{6} (N) = 2

ln (\frac{3 x + 2}{2}) = - 1

lo g_{2} (lo g_{2} (x + 1)) = 1

What is the answer to 3=log_{10}((10^5)/x) ?
The answer to 3=log_{10}((10^5)/x) is x=100
Solve for x: 3=log_{10}((10^5)/x)
The solution is x=100