SOLUTION: Use algebraic procedures to find the exact solution of the equation log4x+log4(x-12)=3. a. 16 b. -4,16 c. 0,-12 d. 4 e. 3,4

Question 470555: Use algebraic procedures to find the exact solution of the equation
log4x+log4(x-12)=3.
a. 16
b. -4,16
c. 0,-12
d. 4
e. 3,4
Found 2 solutions by robertb, lwsshak3:
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
a. 16.
Just quickly try out all the possible choices, and you'll find out it's 16.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Use algebraic procedures to find the exact solution of the equation
log4x+log4(x-12)=3.
**
log4x+log4(x-12)=3
=log4(x(x-12))=3
convert to exponential form (base(4) raised to log of number(3)=number(x(x-12))
4^3=x(x-12)
64=x^2-12x
x^2-12x-64=0
(x-16)(x+4)=0
x=16
or
x=-4 (reject, 4x>0)
..
Check:
log4(16)+log4(16-12)
=log4(16)+log4(4)
=2+1=3
RELATED QUESTIONS
Use algebraic procedures to find the exact solution(s) of the equation below.... (answered by Tatiana_Stebko)
3^(-x) = 120 use algebraic procedures to find the exact solution or solutions of the... (answered by Fombitz)
Use algebraic procedures to find the exact solution(s) of the equation below. 10^6-x=840 (answered by Tatiana_Stebko)
Use algebraic procedures to find the exact solution(s) of the equation. (Enter your... (answered by solver91311)
use algebraic procedures to find the exact solution or solutions of the equation.... (answered by ikleyn)
use algebraic procedures to find the exact solution or solutions of the equation.... (answered by Alan3354)
Use algebraic procedures to find the exact solution or solutions of the equation.... (answered by MathLover1)
Use algebraic procedures to find the exact solution(s) of the equation. (Enter your... (answered by ankor@dixie-net.com)
Use algebraic procedures to find the exact solution(s) 1. 5^X+1= 4 2.... (answered by stanbon)