What is the answer to log_{10}(x/3)=2 ?

The answer to log_{10}(x/3)=2 is x=300

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log_{10}(x/3)=2

lo g_{10} (\frac{x}{3}) = 2

x = 300

Solution steps

lo g_{10} (\frac{x}{3}) = 2

Apply log rules

\frac{x}{3} = 1 0^{2}

Multiply both sides by

3

\frac{x}{3} \cdot 3 = 1 0^{2} \cdot 3

Simplify

x = 300

Verify Solutions:

x = 300

True

The solution is

x = 300

lo g_{x} (16) = 4

ln (ln (x)) = 0

lo g_{4} (a) = lo g_{2} (x)

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

lo g_{7} (x) = 2