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Popular >

simplify 5(2ln(6)-1-ln(3))

Solution

simplify

5 (2 ln (6) - 1 - ln (3))

Solution

5 (ln (12) - 1)

+1

Decimal Notation

7.42453 \dots

Solution steps

5 (2 ln (6) - 1 - ln (3))

Apply log rule:

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

2 ln (6) = ln (6^{2})

= 5 (ln (6^{2}) - 1 - ln (3))

Apply log rule:

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

ln (6^{2}) - ln (3) = ln (\frac{6 ^{2}}{3})

= 5 (ln (\frac{6 ^{2}}{3}) - 1)

\frac{6 ^{2}}{3} = 12

= 5 (ln (12) - 1)

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Frequently Asked Questions (FAQ)

What is 5(2ln(6)-1-ln(3)) ?
The solution to 5(2ln(6)-1-ln(3)) is 5(ln(12)-1)