What is (ln(330)-ln(166))/7 ?

The solution to (ln(330)-ln(166))/7 is (ln(165/83))/7

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simplify (ln(330)-ln(166))/7

simplify

\frac{ln ( 330 ) - ln ( 166 )}{7}

\frac{ln ( \frac{165}{83} )}{7}

Decimal Notation

0.09815 \dots

Solution steps

\frac{ln ( 330 ) - ln ( 166 )}{7}

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

ln (330) - ln (166) = ln (\frac{330}{166})

= \frac{ln ( \frac{330}{166} )}{7}

Cancel the common factor:

2

= \frac{ln ( \frac{165}{83} )}{7}

- lo g_{10} (3.4 x 1 0^{- 4})

2 - ln (\frac{1}{3})

ln (\frac{x + 3}{x ^{2} + 1})

ln (A B)

ln (\frac{x}{y}) - ln (x)

What is (ln(330)-ln(166))/7 ?
The solution to (ln(330)-ln(166))/7 is (ln(165/83))/7