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Popular >

simplify ln(15)+ln(2)-ln(5)

Solution

simplify

ln (15) + ln (2) - ln (5)

Solution

ln (6)

+1

Solution steps

ln (15) + ln (2) - ln (5)

Apply log rule:

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

ln (15) + ln (2) = ln (15 \cdot 2)

= ln (15 \cdot 2) - ln (5)

Multiply the numbers:

15 \cdot 2 = 30

= ln (30) - ln (5)

Apply log rule:

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

ln (30) - ln (5) = ln (\frac{30}{5})

= ln (\frac{30}{5})

Divide the numbers:

\frac{30}{5} = 6

= ln (6)

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Frequently Asked Questions (FAQ)

What is ln(15)+ln(2)-ln(5) ?
The solution to ln(15)+ln(2)-ln(5) is ln(6)