Solve ln3+ln(4x)=4 . Round your answer to the nearest hundreth.(1 point) Responses 0.01 0.01 0.91 0.91 4.55 4.55 12.90

Answer 1

To solve the equation ln(3) + ln(4x) = 4, we can combine the logarithms using the properties of logarithms.

ln(3) + ln(4x) = ln(3 * 4x)
ln(3) + ln(4x) = ln(12x)

Now we have:

ln(12x) = 4

To solve for x, we need to rewrite the equation in exponential form:

12x = e^4

x = e^4 / 12

x ≈ 8.88 (rounded to the nearest hundredth)

Therefore, the answer is 8.88.