Question

How to expand log 49/64?​

Answer 1

log(49/64)

=log(7^2/8^2)

=log(7/8)^2

=2log(7/8)

=2log7 - 2log8

=2log7 - 6log2

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Answer 2

Answer:

expand of log 49/64 = 2log7 - 6log2

Step-by-step explanation:

Given information

expand$log(\frac{49}{64})$

$= log(\frac{7^2}{8^2})$

$= log(\frac{7}{8})^2$

from log property we have

$= 2 log(\frac{7}{8})$

from property log(A/B) = log A - log B

= 2log7 - 2log8

= 2log 7 - 2 log 2^3

=2 log 7 - 2*3 log 2

= 2log7 - 6log2