What is the answer to log_{10}(x/3)=1 ?

The answer to log_{10}(x/3)=1 is x=30

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log_{10}(x/3)=1

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

x = 30

Solution steps

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

Apply log rules

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

Multiply both sides by

3

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

Simplify

x = 30

Verify Solutions:

x = 30

True

The solution is

x = 30

lo g_{\frac{1}{2}} (a) = - 2

lo g_{\frac{1}{2}} (a) = - 4

lo g_{4} (y) = 5

t, V = V lo g_{0} (+ a t)

lo g_{x} (\frac{125}{8}) = 3