SOLUTION: How do you solve the equation: 8^(x+1)=3^(x-1)

Question 936316: How do you solve the equation: 8^(x+1)=3^(x-1)
Answer by reviewermath(1029) (Show Source): You can put this solution on YOUR website!

Get the ln of both sides
(x+1)*ln(8) = (x-1)*ln(3)
x*ln(8) + ln(8) = x*ln(3) - ln(3)
x[ln(8)-ln(3)] = -ln(8) - ln(3)
x = [ln(8) + ln(3)]/[ln(3) - ln(8)]
x = ln(24)/ln(0.375) or -3.24017 [to 5 decimal places]
RELATED QUESTIONS
"How do you solve the following: 1 3/4 / 3 3/8 = 1/3 / x" (answered by ankor@dixie-net.com)

How do you solve for x in the following rational equation... (answered by ewatrrr)

How do you solve for X in the equation: {{{ lnX + ln(x+3) =1... (answered by stanbon,richard1234)

how do you solve... (answered by Edwin McCravy)

how do i solve the equation 3/5 x... (answered by checkley77)

How do you solve for x: a(x-3)+8 =... (answered by jojo14344)

how do you solve the radical equation radical sign(x-2) + 3 = radical sign (4x+1) (answered by stanbon)

How do you solve the equation,... (answered by josgarithmetic)

how do you solve this equation? 1/x-1 + 2/x =... (answered by borzeya,kiru_khandelwal)