SOLUTION: Please explain this to me, i don't understand this. For any base b, log_b ∛(b^5 ) is log_b 3b log_b (3b/5) 5/3 3/5 5b/3

Algebra.Com
Question 756431: Please explain this to me, i don't understand this.


For any base b, log_b ∛(b^5 )
is
log_b 3b
log_b (3b/5)
5/3
3/5
5b/3

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
For any base b, log_b ∛(b^5 )
log_b ∛(b^5 )


Rule:log of base(b) raised to an exponent(5/3)=exponent(5/3)
Example:log of base(10) raised to expoment(2)=2
log(10^2)=log100=2

RELATED QUESTIONS

Please help with this. I can't understand the way my teacher is trying to explain.... (answered by josmiceli)
Please help with this. I can't understand the way my teacher is trying to explain.... (answered by Alan3354,Tatiana_Stebko)
What is [log, base 3b(3b again but regular number)exponent 5] times [log, base 11 1]?... (answered by sdmmadam@yahoo.com)
Rewrite each expression as a single logarithm: a) log 2 + log x – (log 3 + log y) b)... (answered by Alan3354)
1. Solve the following equations a) log(base 5)x+2 + log(base 5) x-2 - log(base 5)4 =... (answered by mananth)
Log 2 = 0.301 log 3 = 0.477 log 5 = 0.699 using this information Find:- a) Log 6/5 b)... (answered by Alan3354)
Solve for x: (A.) Log(base 5)7 + log(base 5)8 = log(base 5)(2x-4) (B.) Log(base 3)... (answered by Nate)
given log b 2= 0.3562, log b 3=0.5646, log b 5=0.8271 and log b 11=1.2323 evaluate:... (answered by vleith)
Log 2 = 0.301 log 3 = 0.477 log 5 = 0.699 using this information Find:- a) Log (answered by ankor@dixie-net.com)