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Popular >

simplify ln(2)-ln(3)+ln(5)

Solution

simplify

ln (2) - ln (3) + ln (5)

Solution

ln (\frac{10}{3})

+1

Solution steps

ln (2) - ln (3) + ln (5)

Apply log rule:

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

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

= ln (\frac{2}{3}) + ln (5)

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

ln (\frac{2}{3}) + ln (5) = ln (5 \cdot \frac{2}{3})

= ln (5 \cdot \frac{2}{3})

\frac{2}{3} \cdot 5 = \frac{10}{3}

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

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Frequently Asked Questions (FAQ)

What is ln(2)-ln(3)+ln(5) ?
The solution to ln(2)-ln(3)+ln(5) is ln(10/3)