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Popular >

simplify ln(10)-3ln(6)

Solution

simplify

ln (10) - 3 ln (6)

Solution

ln (\frac{5}{108})

+1

Decimal Notation

- 3.07269 \dots

Solution steps

ln (10) - 3 ln (6)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

3 ln (6) = ln (6^{3})

= ln (10) - ln (6^{3})

Apply log rule:

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

ln (10) - ln (6^{3}) = ln (\frac{10}{6 ^{3}})

= ln (\frac{10}{6 ^{3}})

\frac{10}{6 ^{3}} = \frac{5}{108}

= ln (\frac{5}{108})

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Frequently Asked Questions (FAQ)

What is ln(10)-3ln(6) ?
The solution to ln(10)-3ln(6) is ln(5/108)