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Popular >

simplify 2ln(15)-ln(5)

Solution

simplify

2 ln (15) - ln (5)

Solution

ln (45)

+1

Decimal Notation

3.80666 \dots

Solution steps

2 ln (15) - ln (5)

Apply log rule:

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

2 ln (15) = ln (1 5^{2})

= ln (1 5^{2}) - ln (5)

Apply log rule:

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

ln (1 5^{2}) - ln (5) = ln (\frac{1 5 ^{2}}{5})

= ln (\frac{1 5 ^{2}}{5})

\frac{1 5 ^{2}}{5} = 45

= ln (45)

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Frequently Asked Questions (FAQ)

What is 2ln(15)-ln(5) ?
The solution to 2ln(15)-ln(5) is ln(45)