SOLUTION: ln(x+3)+ln4=ln40

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: ln(x+3)+ln4=ln40      Log On


   

Question 147610: ln(x+3)+ln4=ln40
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
ln%28x%2B3%29%2Bln%284%29=ln%2840%29 Start with the given equation.


ln%28%28x%2B3%29%284%29%29=ln%2840%29 Combine the logs using the identity ln%28A%29%2Bln%28B%29=ln%28A%2AB%29.


ln%284x%2B12%29=ln%2840%29 Distribute.


4x%2B12=40 Since the logs are equal with the same base, this means that the arguments are equal.


4x=40-12 Subtract 12 from both sides.


4x=28 Combine like terms on the right side.


x=%2828%29%2F%284%29 Divide both sides by 4 to isolate x.


x=7 Reduce.


----------------------------------------------------------------------

Answer:

So the answer is x=7