What is the answer to log_{10}((1000)/x)=3 ?

The answer to log_{10}((1000)/x)=3 is x=1

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log_{10}((1000)/x)=3

lo g_{10} (\frac{1000}{x}) = 3

x = 1

Solution steps

lo g_{10} (\frac{1000}{x}) = 3

Apply log rules

\frac{1000}{x} = 1 0^{3}

Multiply both sides by

x

\frac{1000}{x} x = 1 0^{3} x

Simplify

1000 = 1000 x

Solve

1000 = 1000 x : x = 1

x = 1

Verify Solutions:

x = 1

True

The solution is

x = 1

lo g_{x} (10) = 5

lo g_{3} (6 x + 9) = - 4

lo g_{x} (10) = 8

lo g_{3} (y) = \frac{1}{2}

lo g_{a} (\frac{27}{8}) = 1.5

What is the answer to log_{10}((1000)/x)=3 ?
The answer to log_{10}((1000)/x)=3 is x=1
Solve for x: log_{10}((1000)/x)=3
The solution is x=1