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

The answer to log_{10}(3x)=2 is x= 100/3

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log_{10}(3x)=2

lo g_{10} (3 x) = 2

x = \frac{100}{3}

Decimal

x = 33.33333 \dots

Solution steps

lo g_{10} (3 x) = 2

Apply log rules

3 x = 100

Solve

3 x = 100 : x = \frac{100}{3}

x = \frac{100}{3}

lo g_{10} (x) + lo g_{10} (x - 99) = 2

a, x = ln (\frac{a}{s})

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

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

7 lo g_{6} (4 x) + 5 = - 2