SOLUTION: Prove that 2log(16/15)+log(25/24)-log(32/27)=0

Algebra.Com
Question 980074: Prove that 2log(16/15)+log(25/24)-log(32/27)=0
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
2log(16/15)+log(25/24)-log(32/27)=0;
log {16^2*25*27)/(15^2*24*32}
256*25*27/225*24*32 = 256*675/225*768
256 is 1/3 of 768
675 is 3 times 225
3*1/3=1
log 1=0

RELATED QUESTIONS

show that... (answered by jvdiwate@rediffmail.com)
show that... (answered by jsmallt9)
simplify: log 2+16 log(16/15)+12 log(25/24)+7... (answered by jsmallt9)
Simplify,... (answered by stanbon)
Log(75/16)-2log(5/9)+log(32/243) (answered by jsmallt9)
log(75/16)+2log(5/4)+log(32/243)=log2 (answered by MathLover1,Alan3354)
log 16/log... (answered by jsmallt9)
LOG 16/LOG... (answered by MathLover1)
Solve the equation 3log[base5]x - log[base5]4 = log[base5]16. Solve the equation... (answered by drk)