Question

Write 2log3 + 3log5 - 5log2 as a single logarithm​

Answer 1

Answer:

log(125×9)/32 is the answer

Answer 2

Answer

2log3+3log5+5log2

We know that, logxy =ylogx,

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

=log3²+log5³+log2⁵

=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.

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