3. Evaluate each of the following in terms of x and y, if it is given x=log, 3 and
y=log, 5
(i) log, 15
(ii) log, 7.5
(iii) log,60 (iv) log,6750
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X=Log3
Y=Log5
1)log 15
=log5×3
=log5+log3
=y+x
2)Log7.5
Log75/10=log75-log10
=log5²×3-log5×2
=2log5+log3-log5+log2
=2y+x-y+log2
=y+x+log2
3)log60
=log5×3×2²
=log5+log3+2log2
=y+x+2log2
4)log6750
=log5³×3³×2
=3log5+3log3+log2
=3y+3x+log2
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