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Question

7log1615+5log2524+3log8180 is equal to


A

0

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B

1

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C

log2

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D

log3

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Solution

The correct option is C

log2


Explanation for the correct option:

Use logarithmic properties to simplify the expression:

7log1615+5log2524+3log8180=log16157+log25245+log81803 [alogb=logba]

7log1615+5log2524+3log8180=log161572524581803[log(a)+log(b)=log(ab)]=log22837×57·510215×35·312212×53=log2

Hence, option (C) is the correct answer.


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