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Popular >

simplify ln(16)-ln(3)-ln(5)

Solution

simplify

ln (16) - ln (3) - ln (5)

Solution

ln (\frac{16}{15})

+1

Decimal Notation

0.06453 \dots

Solution steps

ln (16) - ln (3) - ln (5)

Apply log rule:

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

ln (16) - ln (3) = ln (\frac{16}{3})

= ln (\frac{16}{3}) - ln (5)

Apply log rule:

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

ln (\frac{16}{3}) - ln (5) = ln (\frac{\frac{16}{3}}{5})

= ln (\frac{\frac{16}{3}}{5})

\frac{\frac{16}{3}}{5} = \frac{16}{15}

= ln (\frac{16}{15})

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ln (\frac{16}{10})

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Frequently Asked Questions (FAQ)

What is ln(16)-ln(3)-ln(5) ?
The solution to ln(16)-ln(3)-ln(5) is ln(16/15)