Question

write 2log3+3log5 as single log
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Answer 1

Answer:

Use rules of logarithms to condense.

Exact Form:

log(1125)

Answer 2

Step-by-step explanation:

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.