What is log_{10}(p)-log_{10}(q) ?

The solution to log_{10}(p)-log_{10}(q) is log_{10}(p/q)

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simplify log_{10}(p)-log_{10}(q)

simplify

lo g_{10} (p) - lo g_{10} (q)

lo g_{10} (\frac{p}{q})

Solution steps

lo g_{10} (p) - lo g_{10} (q)

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} (5.7 \cdot 1 0^{- 6})

2 ln (2) + ln (3)

- \frac{5 ln ( 2 )}{ln ( 4394 )}

\frac{- 1}{4} (ln \frac{x}{2} + 1 - ln \frac{x}{2} - 1)

- lo g_{10} (1.8 \cdot 1 0^{- 3})

What is log_{10}(p)-log_{10}(q) ?
The solution to log_{10}(p)-log_{10}(q) is log_{10}(p/q)