SOLUTION: What is {{{ log(3,6)+ log(2,5) }}} as a single function?

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: What is {{{ log(3,6)+ log(2,5) }}} as a single function?      Log On


   

Question 547233: What is +log%283%2C6%29%2B+log%282%2C5%29+ as a single function?
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
What is +log%283%2C6%29%2B+log%282%2C5%29+ as a single function?
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log3(6)+log2(5)
convert to log base 10
log(6)/log(3)+log(5)/log(2)
(1/log(3)*log(6)+(1/log(2)*log(5)
log(6^(1/log3))+log(5^(1/log2))
place under single log
log[6^(1/log3)*(5^(1/log2)]
note: (1/log3) and (1/log2) are just numerical exponents of (6) and (5) respectively.