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Popular >

simplify ln(40)-2ln(5)

Solution

simplify

ln (40) - 2 ln (5)

Solution

ln (\frac{8}{5})

+1

Decimal Notation

0.47000 \dots

Solution steps

ln (40) - 2 ln (5)

Apply log rule:

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

2 ln (5) = ln (5^{2})

= ln (40) - ln (5^{2})

Apply log rule:

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

ln (40) - ln (5^{2}) = ln (\frac{40}{5 ^{2}})

= ln (\frac{40}{5 ^{2}})

\frac{40}{5 ^{2}} = \frac{8}{5}

= ln (\frac{8}{5})

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Frequently Asked Questions (FAQ)

What is ln(40)-2ln(5) ?
The solution to ln(40)-2ln(5) is ln(8/5)