Question

write 3log2+log3-2log5 as a single logarithm​

Answer 1

Answer:

2log3+3log5+5log2

We know that, logx

y

=ylogx,

Using the above property we can reduce the given equation as,

=log3

2

+log5

3

+log2

5

=log9+log125+log32

also, logx+logy+logz=logxyz, hence we can write the above as,

=log(9×125×32)

=log(36000)

∴ 2log3+3log5+5log2 can be written as a single logarithm as log36000.