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Popular >

simplify 3ln(5)-ln(2)

Solution

simplify

3 ln (5) - ln (2)

Solution

ln (\frac{125}{2})

+1

Decimal Notation

4.13516 \dots

Solution steps

3 ln (5) - ln (2)

Apply log rule:

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

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

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

Apply log rule:

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

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

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

5^{3} = 125

= ln (\frac{125}{2})

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Frequently Asked Questions (FAQ)

What is 3ln(5)-ln(2) ?
The solution to 3ln(5)-ln(2) is ln(125/2)