Answer:
log4x+log4(x-6)=2
place under single log using multiplication rule
log4(x(x-6))=2
convert to exponential form:(base(4) raised to log of number(2)=number(x(x-6)
4^2=x(x-6)
16=x^2-6x
x^2-6x-16=0
(x-8)(x+2)=0
x=8
or
x=-2 (reject, x>0)
Step-by-step explanation:
Answer:
63=1×63,3×21,or 7×9
factors of 63 are - 1,3,7,9,21,63
prime factorization:63=3×3×7=63=3²×7
Answer
(0,-4) and (4,0).
Step-by-step explanation:
The solutions of a system of equation from a graph is where the graphs intersect.
From the question, you mentioned that the graphs intersect at (0,-4) and (4,0).
Therefore the solutions to the system are (0,-4) and (4,0).
Probably, you might have a straight line and a quadratic graph interesting or two quadratic graphs.
Until the end of the problem, pretend the "less-than" sign is an equal sign. What you wanna do is solve for y by getting it by itself. You do this by dividing both sides by 6:
y=18
Because both sides were divided by a positive number, you do NOT flip the sign and leave it as it is:
y<18
