What is log_{10}(y/(x^5)) ?

The solution to log_{10}(y/(x^5)) is log_{10}(y)-5log_{10}(x)

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simplify log_{10}(y/(x^5))

simplify

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

lo g_{10} (y) - 5 lo g_{10} (x)

Solution steps

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

Apply log rule:

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

lo g_{10} (\frac{y}{x ^{5}}) = lo g_{10} (y) - lo g_{10} (x^{5})

= lo g_{10} (y) - lo g_{10} (x^{5})

Simplify

lo g_{10} (x^{5}) : 5 lo g_{10} (x)

= lo g_{10} (y) - 5 lo g_{10} (x)

(lo g_{c} (x) - lo g_{c} (y)) + 8 lo g_{c} (v)

lo g_{2} (e^{- x} cos (π x))

ln (\frac{1}{2 π})

ln (\frac{1 + sin ( x )}{1 - sin ( x )})

ln (\frac{1}{cos ( x )})

What is log_{10}(y/(x^5)) ?
The solution to log_{10}(y/(x^5)) is log_{10}(y)-5log_{10}(x)