Question

Given that log4 = 0.6021 and log6 = 0.7782, without using mathematical tables or calculate, evaluate log0.096.

Answer 1

you are apparently using logs base 10, so

log 0.096 = log(96*10^-3)
= log96 - 3
= log(16*6)-3
= 2log4 + log6 - 3
...

Answer 2

2.9824

Answer 3

Thank you

Answer 4

How do you get 2.9824

Answer 5

No response

Answer 6

-2.9824

Answer 7

I think the correct answer should be -1.017728..., and not -2.9824

Answer 8

Mathematician