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Popular >

simplify 5ln(2)-ln(3)

Solution

simplify

5 ln (2) - ln (3)

Solution

ln (\frac{32}{3})

+1

Decimal Notation

2.36712 \dots

Solution steps

5 ln (2) - ln (3)

Apply log rule:

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

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

= ln (2^{5}) - ln (3)

Apply log rule:

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

ln (2^{5}) - ln (3) = ln (\frac{2 ^{5}}{3})

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

2^{5} = 32

= ln (\frac{32}{3})

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Frequently Asked Questions (FAQ)

What is 5ln(2)-ln(3) ?
The solution to 5ln(2)-ln(3) is ln(32/3)