What is log_{10}((10c)/8) ?

The solution to log_{10}((10c)/8) is log_{10}(5)+log_{10}(c)-2log_{10}(2)

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simplify log_{10}((10c)/8)

simplify

lo g_{10} (\frac{10 c}{8})

lo g_{10} (5) + lo g_{10} (c) - 2 lo g_{10} (2)

Solution steps

lo g_{10} (\frac{10 c}{8})

Cancel

\frac{10 c}{8} : \frac{5 c}{4}

= lo g_{10} (\frac{5 c}{4})

Apply log rule:

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

lo g_{10} (\frac{5 c}{4}) = lo g_{10} (5 c) - lo g_{10} (4)

= lo g_{10} (5 c) - lo g_{10} (4)

lo g_{10} (5 c) = lo g_{10} (5) + lo g_{10} (c)

lo g_{10} (4) = 2 lo g_{10} (2)

= lo g_{10} (5) + lo g_{10} (c) - 2 lo g_{10} (2)

ln (- 3 e^{x})

lo g_{10} (\frac{x}{10000 y ^{6}})

lo g_{b} (\frac{1}{6 ^{y}})

ln (\frac{3 + 1}{2})

ln ∣ x ∣ - ln ∣ x - 1 ∣

What is log_{10}((10c)/8) ?
The solution to log_{10}((10c)/8) is log_{10}(5)+log_{10}(c)-2log_{10}(2)