SOLUTION: Solve and give exact solutions: 15. log2(x+2)+ log2(x-2)=5 17. log(5)= 2-log(x) 19. ln(x)+ ln(x+2)= ln(8) 22. ln(x)-ln(x+1)=ln(x+3)-ln(x+5)

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve and give exact solutions: 15. log2(x+2)+ log2(x-2)=5 17. log(5)= 2-log(x) 19. ln(x)+ ln(x+2)= ln(8) 22. ln(x)-ln(x+1)=ln(x+3)-ln(x+5)      Log On


   

Question 61501This question is from textbook College Algebra
: Solve and give exact solutions:
15. log2(x+2)+ log2(x-2)=5
17. log(5)= 2-log(x)
19. ln(x)+ ln(x+2)= ln(8)
22. ln(x)-ln(x+1)=ln(x+3)-ln(x+5) This question is from textbook College Algebra

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
log%282%2C%28x%2B2%29%29+%2B+log%282%2C%28x-2%29%29+=+5
log%282%2C+%28x%2B2%29%28x-2%29%29+=+5
log%282%2C%28x%5E2-4%29%29+=+5
2%5E5+=+x%5E2+-4
32+=+x%5E2+-4
x%5E2+=+36
x+=+%2B6
x+=+-6
--------------------
log%285%29=+2-log%28x%29
log%285%29+%2B+log%28x%29+=+2
log%285x%29+=+2
10%5E2+=+5x
100+=+5x
x+=+20
--------------------
ln%28x%29%2B+ln%28x%2B2%29=+ln%288%29
ln%28x%29%2B+ln%28x%2B2%29+-+ln%288%29+=+0
ln%28x%2A%28x%2B2%29+%2F+8%29+=+0
e%5E0+=+%28x%29%28x%2B2%29+%2F+8
1+=++%28x%29%28x%2B2%29+%2F+8
%28x%29%28x%2B2%29+=+8
x%5E2+%2B+2x+-+8+=+0
%28x%2B4%29%28x-2%29+=+0
x+=+-4
x+=+%2B2
-------------------
ln%28x%29+-+ln%28x%2B1%29+=+ln%28x%2B3%29+-+ln%28x%2B5%29
ln%28x%2F%28x%2B1%29%29+=+ln%28%28x%2B3%29%2F%28x%2B5%29%29
x+%2F%28x%2B1%29+=+%28x%2B3%29%2F%28x%2B5%29
x%5E2+%2B+5x+=+x%5E2+%2B+4x+%2B+3
x+=+3