What is log_{10}(8(1+3x)) ?

The solution to log_{10}(8(1+3x)) is 3log_{10}(2)+log_{10}(1+3x)

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simplify log_{10}(8(1+3x))

simplify

lo g_{10} (8 (1 + 3 x))

3 lo g_{10} (2) + lo g_{10} (1 + 3 x)

Solution steps

lo g_{10} (8 (1 + 3 x))

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

lo g_{10} (8 (1 + 3 x)) = lo g_{10} (8) + lo g_{10} (1 + 3 x)

= lo g_{10} (8) + lo g_{10} (1 + 3 x)

lo g_{10} (8) = 3 lo g_{10} (2)

= 3 lo g_{10} (2) + lo g_{10} (1 + 3 x)

lo g_{10} (\frac{m}{10 n})

lo g_{10} (3 x y^{3})

ln (12) + ln (3)

ln (\frac{( 3 y + 1 ) ^{4}}{y ^{2} + 1})

ln (x (x + 3))

What is log_{10}(8(1+3x)) ?
The solution to log_{10}(8(1+3x)) is 3log_{10}(2)+log_{10}(1+3x)