Answer:
The option (3). "log30 + log6"
Step-by-step explanation:
In order to find the option that is not equivalent to log(36) we will try to rewrite this log into each option by using the logarithmic properties. This is done below:
(1) We want to reach "log 2 + log 18". We have:
log(36) = log(2*18) = log(2) + log(18)
Therefore the first is equivalent to log(36)
(3) We want to reach "log (30) + log(6)".
If we try to make 36 into a product that has 6 in it, it'd be 6*6, therefore we can't rewrite log(36) as log(30) + log(6). So this is the option that we were looking for.
(2) We want to reach "2*log(6)". We have:
log(36) = log(6²) = 2*log(6)
Therefore it is equivalent to log(36).
(4) We want to reach "log(4) + log(9)". We have:
log(36) = log(4*9) = log(4) + log(9).
Therefore it is equivalent to log(36).
