SOLUTION: If {{{ log (3) = x }}} and {{{ log (5) = y }}} , express in terms of x and y {{{ log (9/10) }}}

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: If {{{ log (3) = x }}} and {{{ log (5) = y }}} , express in terms of x and y {{{ log (9/10) }}}       Log On


   



Question 946652: If +log+%283%29+=+x+ and +log+%285%29+=+y+ , express in terms of x and y
+log+%289%2F10%29+

Found 2 solutions by lwsshak3, MathLover1:
Answer by lwsshak3(11628) 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+%289%2F10%29+
***
log(9/10)=log(9)-log(10)=log(3^2)-1=2log(3)-1=2x-1

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+%289%2F10%29+:

+log+%289%29-log%2810%29+
+log+%283%5E2%29-log%285%2A2%29+
+2log+%283%29-%28log%285%29%2Blog%282%29%29+
+2log+%283%29-log%285%29-log%282%29%29+...since +log+%283%29+=+x+ and +log+%285%29+=+y+
+2x-y+-log%282%29
or
+log+%289%2F10%29=2x-y-log%282%29+