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anonymous
 5 years ago
write as the sum and/or difference of logarithms. Express powers as factors.
anonymous
 5 years ago
write as the sum and/or difference of logarithms. Express powers as factors.

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[\log_{6} \left( x4/x^7 \right)\]

dumbcow
 5 years ago
Best ResponseYou've already chosen the best response.0first combine the inside into one fraction with x^7 as common denominator x  4/x^7 = (x^8  4)/x^7 Now that we have division we split it into 2 logs using the log rule: logx  logy = log(x/y) *note the base does not change =>log(x^8  4)  log(x^7) Another rule is log(x^n) = n*log(x) so change log(x^7) to 7log(x) => log(x^8 4)  7log(x) Now we can factor x^8 4 into a squared binomial: (x^4+2)(x^42) =>log((x^4+2)*(x^42))  7log(x) Now we have multiplication in our log so we split that into 2 logs logx + logy = logxy =>log(x^4+2) + log(x^42)  7log(x) ok now i hope you get the idea, these could be factored again and split up and so on
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