A Angela123 Junior Member Joined Oct 9, 2008 Messages 54 Jan 25, 2009 #1 11(8^x)=1.5e^3x I tried dividing both sides by 1.5 then I was left with: (11/1.5)(8^x/1.5)=e^3x I then took the ln of everything and I was left with: ln(11/1.5)+ln(8^x/1.5)=3x Now I am stuck and need help.
11(8^x)=1.5e^3x I tried dividing both sides by 1.5 then I was left with: (11/1.5)(8^x/1.5)=e^3x I then took the ln of everything and I was left with: ln(11/1.5)+ln(8^x/1.5)=3x Now I am stuck and need help.
W wjm11 Senior Member Joined Nov 13, 2004 Messages 1,417 Jan 25, 2009 #2 11(8^x)=1.5e^3x I tried dividing both sides by 1.5 then I was left with: (11/1.5)(8^x/1.5)=e^3x I then took the ln of everything and I was left with: ln(11/1.5)+ln(8^x/1.5)=3x Click to expand... Hello, Angela, Your approach is correct, though you have an error. Only divide 11(8^x) by 1.5 once. Do not divide both the 11 and the 8^x by 1.5: (11/1.5)(8^x) = e^3x ln(11/1.5)+ln(8^x) = 3x Since x is an exponent in ln(8^x), it can be moved to the coefficient position: ln(11/1.5) + x*ln(8) = 3x Now move all your x terms to one side of the equation and factor: ln(11/1.5) = 3x – xln(8) = x(3 – ln8) Can you take it from here?
11(8^x)=1.5e^3x I tried dividing both sides by 1.5 then I was left with: (11/1.5)(8^x/1.5)=e^3x I then took the ln of everything and I was left with: ln(11/1.5)+ln(8^x/1.5)=3x Click to expand... Hello, Angela, Your approach is correct, though you have an error. Only divide 11(8^x) by 1.5 once. Do not divide both the 11 and the 8^x by 1.5: (11/1.5)(8^x) = e^3x ln(11/1.5)+ln(8^x) = 3x Since x is an exponent in ln(8^x), it can be moved to the coefficient position: ln(11/1.5) + x*ln(8) = 3x Now move all your x terms to one side of the equation and factor: ln(11/1.5) = 3x – xln(8) = x(3 – ln8) Can you take it from here?
