What is log_{10}((7a)/8) ?

The solution to log_{10}((7a)/8) is log_{10}(7)+log_{10}(a)-3log_{10}(2)

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simplify log_{10}((7a)/8)

simplify

lo g_{10} (\frac{7 a}{8})

lo g_{10} (7) + lo g_{10} (a) - 3 lo g_{10} (2)

Solution steps

lo g_{10} (\frac{7 a}{8})

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{10} (\frac{7 a}{8}) = lo g_{10} (7 a) - lo g_{10} (8)

= lo g_{10} (7 a) - lo g_{10} (8)

lo g_{10} (7 a) = lo g_{10} (7) + lo g_{10} (a)

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

= lo g_{10} (7) + lo g_{10} (a) - 3 lo g_{10} (2)

lo g_{3} (1 2^{\frac{5}{6}}) x^{9}

lo g_{5} (\frac{x}{125})

ln (\frac{e ^{5}}{4})

ln (ln (y)) + ln (y)

ln (\frac{( 3 ^{x} 6 ^{3 x} )}{2 ^{4 x}})

What is log_{10}((7a)/8) ?
The solution to log_{10}((7a)/8) is log_{10}(7)+log_{10}(a)-3log_{10}(2)