SOLUTION: Hello: I have a question. I appreciate you taking the time to help me understand so I can get a great grade. 3.5^3x+1=65.4 log 3.5^3x+1=log 65.4 Power Principle (3x+1)log3

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Hello: I have a question. I appreciate you taking the time to help me understand so I can get a great grade. 3.5^3x+1=65.4 log 3.5^3x+1=log 65.4 Power Principle (3x+1)log3      Log On


   



Question 302788: Hello:
I have a question. I appreciate you taking the time to help me understand so I can get a great grade.
3.5^3x+1=65.4
log 3.5^3x+1=log 65.4
Power Principle
(3x+1)log3.5=log 65.4
(3x)log3.5+(1)log3.5= log65.4
Subtract -(1)log3.5 -(1)log3.5
(3x)log3.5=log65.4-(1)log3.5
(3x)log3.5/log3.5=log65.4-(1)log 3.5/log3.5
At this point, I am lost.
Tina

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




Take the log of both sides.



So far, so good.

Use the Power Priciple



Still good, but here is where I would take this in a new direction.








The rest is just calculator work.


John