SOLUTION: Let log(a) = 2.3, log(b) = 7.8 and log(c) = -3.5 a. compute the {{{ log ( ( ( root(3,a^7) root(2,b) )/(root(5,c)) ) ) }}} by expanding the logarithm b. Can {{{ log((a^2 + b^2

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Let log(a) = 2.3, log(b) = 7.8 and log(c) = -3.5 a. compute the {{{ log ( ( ( root(3,a^7) root(2,b) )/(root(5,c)) ) ) }}} by expanding the logarithm b. Can {{{ log((a^2 + b^2      Log On


   

Question 1018483: Let log(a) = 2.3, log(b) = 7.8 and log(c) = -3.5
a. compute the +log+%28+%28+%28+root%283%2Ca%5E7%29+root%282%2Cb%29+%29%2F%28root%285%2Cc%29%29+%29+%29+ by expanding the logarithm
b. Can +log%28%28a%5E2+%2B+b%5E2%29%29+ be simplified? If so how?
c. Can +sqrt%28a%5E2+%2B+b%5E2%29+ be simplified? If so how?

Please explain
Thank you
Answer by ikleyn(52946) About Me  (Show Source):
You can put this solution on YOUR website!
.
a.  +log+%28+%28+%28+root%283%2Ca%5E7%29+root%282%2Cb%29+%29%2F%28root%285%2Cc%29%29+%29+%29+ = %287%2F3%29%2Alog%28%28a%29%29 + %281%2F2%29%2Alog%28%28b%29%29} - %281%2F5%29%2Alog%28%28c%29%29.


Then substitute the given values and calculate.



b.  Can +log%28%28a%5E2+%2B+b%5E2%29%29+ be simplified? If so how?
    No.


c.  Can +sqrt%28a%5E2+%2B+b%5E2%29+ be simplified? If so how?
    No.