SOLUTION: If {{{ log (3) = x }}} and {{{ log (5) = y }}} , express in terms of x and y {{{ log (75) }}}

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: If {{{ log (3) = x }}} and {{{ log (5) = y }}} , express in terms of x and y {{{ log (75) }}}      Log On


   



Question 946649: If +log+%283%29+=+x+ and +log+%285%29+=+y+ , express in terms of x and y
+log+%2875%29+

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
If +log+%283%29+=+x+ and +log+%285%29+=+y+ , express in terms of x and y
+log+%2875%29+
+log+%2815%2A5%29+
+log+%283%2A5%2A5%29+
+log+%283%2A5%5E2%29+
+log+%283%29%2Blog%285%5E2%29+
+log+%283%29%2B2log%285%29+
since we know that log%283%29+=+x and log%285%29+=+y, then +log+%283%29%2B2log%285%29+ becomes:
log+%2875%29+=+x%2B2y%29+