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Popular >

simplify 3ln(b)-3ln(a)

Solution

simplify

3 ln (b) - 3 ln (a)

Solution

ln (\frac{b ^{3}}{a ^{3}})

Solution steps

3 ln (b) - 3 ln (a)

Apply log rule:

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

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

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

Apply log rule:

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

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

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

Apply log rule:

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

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

= ln (\frac{b ^{3}}{a ^{3}})

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Frequently Asked Questions (FAQ)

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