SOLUTION: let log2=a log3 =b and log 5= c, what is log 16 log 0.00003 log 8/3 in terms of a, b , c? please help

Algebra.Com
Question 375373: let log2=a log3 =b and log 5= c, what is log 16 log 0.00003 log 8/3 in terms of a, b , c? please help
Answer by nerdybill(7384)   (Show Source): You can put this solution on YOUR website!
let log2=a log3 =b and log 5= c, what is log 16 log 0.00003 log 8/3 in terms of a, b , c?
.
log(16)
= log(2^4)
= 4*log(2)
= 4a
.
log(0.00003)
= log(3/10^5)
= log(3) - log(10^5)
= log(3) - 5log(10)
= log(3) - 5log(2*5)
= log(3) - 5[log(2)+log(5)]
= b-5[a+c]
.
log 8/3
= log(8)-log(3)
= log(2^3)-log(3)
= 3log(2)-log(3)
= 3a-b



RELATED QUESTIONS

how to express log1024 in terms of A, B and C, letting log2=a, log3=b and log... (answered by stanbon)
If log[b](3)=a and log[b](5)=c, express log[b](225) in terms of a and... (answered by josmiceli)
Let a= log x, b = log y and c = log z Write log (x^2 root y/z^3) in terms of a, b and c (answered by jim_thompson5910)
If A=log 2 and B=log 3, write the following in terms of A and B: a)log 36 b)log 54 (answered by stanbon)
if, log2=a and log3=b, express log cuberoot972 in terms of a and b. the answer is 2a+5b... (answered by rapaljer)
let log(b)2=A and log(b)3=c write the expression in terms of A&C. log(b)square... (answered by Fombitz,MathTherapy)
my earlier submission looks to be jumbled. I have tried to put the same questions in a... (answered by CharlesG2)
What is the value of the given expression: log (2+3) a. log 2 + log 3 b. 2 log 3 (answered by Jk22)
9. Write in terms of log a and log b a) log(1000ab) b) log(a^2b) c) log(a√b) d) (answered by lwsshak3)