Question

Which of the following is equivalent to log9w?

log9 + logw
log9 - logw
w(log9)
9(logw)

Answer 1

Look over your textbook for the properties of logarithms.
Recall that adding together two logs of the same base = one log where the arguments are multiplied together.
(note a log without a number written below is assumed to be base 10)


`\log(9w) = \log(9)+\log(w)`

Answer 2

Option A is correct

`\log 9 + \log w`

Explanation:

Using the logarithmic rules:

`\log mn = \log m+ \log n`

As per the statement:

Given the following:

`\log 9w`

Apply the logarithmic rules we have;

`\log 9 + \log w`

Therefore, the following is equivalent to log 9w is:

`\log 9 + \log w`