Express as a sum of logarithms. ln 4x

A ln 4x + ln x
B ln 4 - ln x
C ln 4 + ln x
D ln(4 + x)

One of the rules of logarithm is

log(a)+log(b) = log(ab)........................(1)
This means that the logarithm of a product is the sum of the logarithms of the multiplicant and multiplier.

Since 4x is a product of 4 * x
Which do you think is the right answer from the list?
(hint: put a=4, and b=x, and substitute into (1) above.

To express ln 4x as a sum of logarithms, we can use the logarithmic property that states ln(ab) = ln(a) + ln(b).

In this case, we can rewrite ln 4x as ln 4 + ln x.

Therefore, the correct answer is C: ln 4 + ln x.