SOLUTION: Exponential/Logarithmic Equations. Follow the directions of this equation. Solve log(x plus 8) = 1 plus log(x minus 10)

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Exponential/Logarithmic Equations. Follow the directions of this equation. Solve log(x plus 8) = 1 plus log(x minus 10)      Log On


   

Question 981295: Exponential/Logarithmic Equations. Follow the directions of this equation.
Solve log(x plus 8) = 1 plus log(x minus 10)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

log%28%28x+%2B8%29%29+=+1%2B+log%28%28x+-10%29%29
log%28%28x+%2B8%29%29-log%28%28x+-10%29%29+=+1+
log%28%28x+%2B8%29%2F%28x+-10%29%29+=+1+.....since 1 is log%2810%2C10%29, we have
log%28%28x+%2B8%29%2F%28x+-10%29%29+=+log%28%2810%29%29+...if log same, then

%28x+%2B8%29%2F%28x+-10%29+=+10+....solve for x
%28x+%2B8%29+=+10%28x+-10%29+
x+%2B8+=+10x+-100+
100+%2B8+=+10x+-x+
108+=+9x+
108%2F9+=+x+
x=12++