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Popular >

simplify 4(ln(2)-3ln(a))

Solution

simplify

4 (ln (2) - 3 ln (a))

Solution

4 ln (\frac{2}{a ^{3}})

Solution steps

4 (ln (2) - 3 ln (a))

Apply log rule:

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

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

= 4 (ln (2) - ln (a^{3}))

Apply log rule:

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

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

= 4 ln (\frac{2}{a ^{3}})

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Frequently Asked Questions (FAQ)

What is 4(ln(2)-3ln(a)) ?
The solution to 4(ln(2)-3ln(a)) is 4ln(2/(a^3))