Question

Given that log 2 = 0.3010 and log 7 = 0.8451 . Find log 560

Answer 1

Answer:

plz solve by using characteristic and mantissa then you will get the answer

Answer 2

The correct answer is 2.7481.

Given: log 2 = 0.3010 and log 7 = 0.8451 .

To Find: The value of log 560.

Solution:

log 560

= log (7*8*10)

Property: log mn = logm + logn

log (7*8*10) = log7 + log8 + log10

Property: $logn^{m}$ = mlogn

log7 + log8 + log10

= log7 + $log2^{3}$ + log10

= log7 + 3log2 + 1

= 0.8451 + 3(0.3010) + 1

= 2.7481

Hence, the value of log 560 is 2.7481.

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