SOLUTION: This is a three part question A + B + C but I'm stuck here on "C" Let C be equal to the sum of the real solutions of log(base 4) of (x + 3) + log(base 4) 0f (x - 3) = 2

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: This is a three part question A + B + C but I'm stuck here on "C" Let C be equal to the sum of the real solutions of log(base 4) of (x + 3) + log(base 4) 0f (x - 3) = 2      Log On


   

Question 721351: This is a three part question A + B + C but I'm stuck here on "C"
Let C be equal to the sum of the real solutions of log(base 4) of (x + 3) + log(base 4) 0f (x - 3) = 2
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
log%284%2C%28x+%2B+3%29%29+%2B+log%284%2C+%28x+-+3%29%29+=+2....in base 10 it will be

log%28%28x+%2B+3%29%29%2Flog%284%29+%2B+log%28%28x+-+3%29%29%2Flog%284%29+=+2


%28log%28%28x+%2B+3%29%29+%2B+log%28%28x+-+3%29%29%29%2Flog%284%29+=+2

log%28%28%28x+%2B+3%29%28x+-+3%29%29%29+=+2log%284%29

log%28%28%28x+%2B+3%29%28x+-+3%29%29%29+=+log%28%284%5E2%29%29

log%28%28%28x+%2B+3%29%28x+-+3%29%29%29+=+log%2816%29...if log same, then

%28x+%2B+3%29%28x+-+3%29+=+16....solve for x

x%5E2+-+9+=+16

x%5E2++=+16%2B9

x%5E2++=+25

x+=+sqrt%2825%29

x+=+5