SOLUTION: Solve the equation, give an exact solution log4(x+4) + log4(x+4) = 1 I cannot figure out the answer.

Question 740355: Solve the equation, give an exact solution
log4(x+4) + log4(x+4) = 1
I cannot figure out the answer.
Found 2 solutions by MathLover1, rothauserc:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
....in base we have

...if so, then

solutions;

.......

we need only this solution because we have and we can find only log of positive number; since we looking for log of it will be positive number if we plug in ()

if we plug in we will get negative number ()
so, your solution is:

Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
here is a shorter answer
note that log4(4) = 1
then we can rewrite the equation as
log4(x+4) + log4(x+4) = log4(4)
we can then remove the log base 4 from both sides of the =
we get
x+4 + x+4 = 4
2x+8 = 4
2x = -4
and x = -2

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