Answer :
rewrite the equation in exponential form, use the definition of a log and then simplify and you should get x= e^4/12 or 4.55
Answer:
x = 4.55.
Step-by-step explanation:
Given : ln 3 + ln (4x) = 4.
To find : Solve round your answer to the nearest hundredth.
Solution : We have given that
ln 3 + ln (4x) = 4.
By the logarithm rule : ln a + ln b = ln (ab).
Then,
ln 3 + ln (4x) = ln (3 * 4x )
ln 3 + ln (4x) = ln (12 x )
Then ,
ln (12 x ) = 4
Taking exponential both side
12x = [tex]e^{4}[/tex].
12 x = 54.59.
12 x = 54 .59
On dividing by 12 both sides
x = 4.55.
Therefore, x = 4.55.