What is log_{10}(y/(x^9)) ?

The solution to log_{10}(y/(x^9)) is log_{10}(y)-9log_{10}(x)

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simplify log_{10}(y/(x^9))

simplify

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

lo g_{10} (y) - 9 lo g_{10} (x)

Solution steps

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

Apply log rule:

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

lo g_{10} (\frac{y}{x ^{9}}) = lo g_{10} (y) - lo g_{10} (x^{9})

= lo g_{10} (y) - lo g_{10} (x^{9})

Simplify

lo g_{10} (x^{9}) : 9 lo g_{10} (x)

= lo g_{10} (y) - 9 lo g_{10} (x)

\frac{1}{2} ln (x + 7) - [2 ln (x) + 3 ln (y)]

lo g_{10} (\frac{x + 5}{x - 4})

ln (y^{(2)} - 1) - ln (y + 1)

5 lo g_{b} (x) + 9 lo g_{b} (z)

ln (3) + 2 ln (x) - 9 ln (y)

What is log_{10}(y/(x^9)) ?
The solution to log_{10}(y/(x^9)) is log_{10}(y)-9log_{10}(x)