Question

Express as single logarithm : 1/2 log25 – 2log3 + 1​

Answer 1

Answer:

1/2log25−2log3+1

Let us simplify the expression into single logarithm,

1/2log25−2log3+1=log251/2−log32+log10

=log(5)2×1/2−log9+log10

=log5−log9+log10

=log(5×10)−log9

=log((5×10)/9)

=log50/9

It is log50/9

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Answer 2

Answer:

1/2log25−2log3+1

Let us simplify the expression into single logarithm,

1/2log25−2log3+1=log251/2−log32+log10

=log(5)2×1/2−log9+log10

=log5−log9+log10

=log(5×10)−log9

=log((5×10)/9)

=log50/9