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Question

Question: \(7\log\left( \frac{16}{15} \right) + 5\log\left( \frac{25}{24} \right) + 3\log\left( \frac{81}{80} ...

7log(1615)+5log(2524)+3log(8180)7\log\left( \frac{16}{15} \right) + 5\log\left( \frac{25}{24} \right) + 3\log\left( \frac{81}{80} \right) is equal to

A

0

B

1

C

log2\log 2

D

log3\log 3

Answer

log2\log 2

Explanation

Solution

Given expression = log(167157.255245.813803)=log2\log\left( \frac{16^{7}}{15^{7}}.\frac{25^{5}}{24^{5}}.\frac{81^{3}}{80^{3}} \right) = \log 2.