Question

log(5^3)(17^6) explain it?

Answer 1

Answer:

log( (5^3)(17^6) ) = 9.48

Step-by-step explanation:

We are given that

log( (5^3)(17^6) )

If we consider it as common log(ab) where a = 5^3 and b = 17^6 then

log( (5^3)(17^6) )

= log( (5^3) + log(17^6)

= 3 log(5) + 6 log(17)

since we know that

log(5) = 0.698970 = 0.70

log(17) = 1.23044 = 1.23

So

3 log(5) + 6 log(17) = 3 (0.70) + 6 (1.23) = 2.1 + 7.38 = 9.48

Thus

log( (5^3)(17^6) ) = 9.48