What is log_{10}((p^2q^3)/(sqrt(r))) ?

The solution to log_{10}((p^2q^3)/(sqrt(r))) is 2log_{10}(p)+3log_{10}(q)-log_{10}(sqrt(r))

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simplify log_{10}((p^2q^3)/(sqrt(r)))

simplify

lo g_{10} (\frac{p ^{2} q ^{3}}{r})

2 lo g_{10} (p) + 3 lo g_{10} (q) - lo g_{10} (r)

Solution steps

lo g_{10} (\frac{p ^{2} q ^{3}}{r})

Apply log rule:

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

lo g_{10} (\frac{p ^{2} q ^{3}}{r}) = lo g_{10} (p^{2} q^{3}) - lo g_{10} (r)

= lo g_{10} (p^{2} q^{3}) - lo g_{10} (r)

Simplify

lo g_{10} (p^{2} q^{3}) : 2 lo g_{10} (p) + 3 lo g_{10} (q)

= 2 lo g_{10} (p) + 3 lo g_{10} (q) - lo g_{10} (r)

ln (\frac{29}{23.2})

- lo g_{8} (3 x - 4) + 3 lo g_{8} (x + 9)

\frac{1}{2} (lo g_{9} (s) + lo g_{9} (t))

lo g_{10} (3 x^{4})

ln (2) + ln (x) + ln (y)

What is log_{10}((p^2q^3)/(sqrt(r))) ?
The solution to log_{10}((p^2q^3)/(sqrt(r))) is 2log_{10}(p)+3log_{10}(q)-log_{10}(sqrt(r))