Question

expand each logarithm:
1. log[base 8] 8 ( square root 3a^5)
2.log (s(square root 7) / t^2)
3.log [base b] 1/x
Please help !

Answer 1

1. \[\log_{8} 8 \sqrt{3a ^{5}}\]
2. \[\log (s \sqrt{7} \div t ^{2} )\]
3. \[\log_{b} \frac{ 1 }{ x }\]

Answer 2

so i have to expand those logarithms

Answer 3

ok

Answer 4

any thing else..??

Answer 5

@Kashan you dont like rewrite it here now for you can getting comments on this ,please ?

Answer 6

so and than the asker will can add to you medal for ... good answer

Answer 7

@sahura what is your opinion from this ,please ?

Answer 8

@jhonyy9 what are you saying?? sorry i didn't get your point..

Answer 9

so if you dont like rewriting your calcules here now ?

Answer 10

the same how you have do it on your photo attached in form jpg.

Answer 11

so if we look it step by step than

log(8) 8 =1
sqrt(3a^5) = (3a^5)^(1/2)

@sahura do you like continue it ?

Answer 12

so now you need just using the property of logarithm's

Answer 13

the log properties are:
\[\log (ab) = \log(a) + \log(b)\]
\[\log(\frac{a}{b}) = \log(a) - \log(b)\]
\[\log(a^{n}) = n*\log(a)\]

Answer 14

thanks !