What is log_{10}((a*b)/c) ?

The solution to log_{10}((a*b)/c) is log_{10}(a)+log_{10}(b)-log_{10}(c)

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simplify log_{10}((a*b)/c)

simplify

lo g_{10} (\frac{a \cdot b}{c})

lo g_{10} (a) + lo g_{10} (b) - lo g_{10} (c)

Solution steps

lo g_{10} (\frac{ab}{c})

Apply log rule:

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

lo g_{10} (\frac{ab}{c}) = lo g_{10} (ab) - lo g_{10} (c)

= lo g_{10} (ab) - lo g_{10} (c)

Simplify

lo g_{10} (ab) : lo g_{10} (a) + lo g_{10} (b)

= lo g_{10} (a) + lo g_{10} (b) - lo g_{10} (c)

lo g_{2} (7) + lo g_{2} (x) - lo g_{2} (7)

lo g_{10} (\frac{y}{2})

ln (6 x)

lo g_{10} (\frac{x ^{5}}{y ^{9} z})

ln (\frac{a}{b + c})

What is log_{10}((a*b)/c) ?
The solution to log_{10}((a*b)/c) is log_{10}(a)+log_{10}(b)-log_{10}(c)