What is log_{10}((ac)/b) ?

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

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simplify log_{10}((ac)/b)

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

Simplify

lo g_{10} (a c) : lo g_{10} (a) + lo g_{10} (c)

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

lo g_{x} ((a) (4))

lo g_{11} (\frac{x}{7})

lo g_{5} (8 x)

ln (5 x^{2})

4 ln (x + 6) - 3 ln (x)

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