What is log_{10}(P)-log_{10}(Q)-log_{10}(R) ?

The solution to log_{10}(P)-log_{10}(Q)-log_{10}(R) is log_{10}(P/(QR))

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simplify log_{10}(P)-log_{10}(Q)-log_{10}(R)

simplify

lo g_{10} (P) - lo g_{10} (Q) - lo g_{10} (R)

lo g_{10} (\frac{P}{QR})

Solution steps

lo g_{10} (P) - lo g_{10} (Q) - lo g_{10} (R)

Apply log rule:

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

lo g_{10} (P) - lo g_{10} (Q) = lo g_{10} (\frac{P}{Q})

= lo g_{10} (\frac{P}{Q}) - lo g_{10} (R)

Apply log rule:

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

lo g_{10} (\frac{P}{Q}) - lo g_{10} (R) = lo g_{10} (\frac{\frac{P}{Q}}{R})

= lo g_{10} (\frac{\frac{P}{Q}}{R})

Simplify

\frac{\frac{P}{Q}}{R} : \frac{P}{QR}

= lo g_{10} (\frac{P}{QR})

ln (\frac{x + 2}{x - 2})

ln (f g)

lo g_{10} (\frac{x}{y ^{2}})

lo g_{10} (y^{2} z)

What is log_{10}(P)-log_{10}(Q)-log_{10}(R) ?
The solution to log_{10}(P)-log_{10}(Q)-log_{10}(R) is log_{10}(P/(QR))