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Popular >

simplify 9ln(a)-7ln(b)

Solution

simplify

9 ln (a) - 7 ln (b)

Solution

ln (\frac{a ^{9}}{b ^{7}})

Solution steps

9 ln (a) - 7 ln (b)

Apply log rule:

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

9 ln (a) = ln (a^{9})

= ln (a^{9}) - 7 ln (b)

Apply log rule:

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

7 ln (b) = ln (b^{7})

= ln (a^{9}) - ln (b^{7})

Apply log rule:

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

ln (a^{9}) - ln (b^{7}) = ln (\frac{a ^{9}}{b ^{7}})

= ln (\frac{a ^{9}}{b ^{7}})

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Frequently Asked Questions (FAQ)

What is 9ln(a)-7ln(b) ?
The solution to 9ln(a)-7ln(b) is ln((a^9)/(b^7))