Question 904251: Solve the equation.
Log(4p+1) + log(p) = log(3)
Answer by AlgebraLady88(44)   (Show Source):
You can put this solution on YOUR website! log ( 4p + 1) + log (p) = log (3)
Remember the log rule :
log x + log y = log xy
Therefore, log ( 4p +1) + log (p) = log (3)
log p( 4p + 1) = log 3
When the bases are the same , then we can make p(4p+1) = 3
This will give us 4p^2 + p -3 =0
which is (4p-3)(p+1) =0
4p-3 =0
4p =3
p= 3/4
p+1 =0
p= -1
Since we cannot have a negative inside a logarithm, we can only take p= 3/4 as the answer.
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