X = approximately 633

Steps:
lnx + ln3x = 14

ln3x^2 = 14 : Use the log property of addition which is to multiply same log together so you multiply x and 3x because they have log in common

(ln3x^2) = (14) : take base of e on both sides to get rid of the log
e e

3x^2 = e^14 : e cancels out log on the left side and the right side is e^14

x^2 = e^14 / 3 : divide both sides by 3

√x^2 = √(e^14 / 3) : take square root on both sides to get rid of the square 2 on x

x = √(e^14) / √3 : square root cancels out square 2 leaving x by itself

x = e^7 / √3 : simplify the √(e^14) so 14 (e^14) divide by 2 (square root) = 7

x = 633.141449221 : solve

4 0

3 years ago

Benito spent $1616 to operate his car last year. Some of these expenses are listed below. Benito's only other expense was for ga

Verizon [17]

Subtract all the operating expenses from the amount he spent total and get what's left over is $491. That's what he spent on gas. Divide the number of miles he drove by the amount he spent on the gas to find out what the average cost of the gas was per mile. 491/7270 = .06753. But that is expressed in dollars and we need it in cents. Multiply that decimal by 100 to get 6.75 cents, choice A from above.

5 0

3 years ago