3/4x + 3 - 2x = -1/4 + 1/2x + 5
Put in terms of 4 as denominator
3/4x + 12/4 - 8/4x = -1/4 + 2/4x + 20/4
Combine like terms
-5/4x + 12/4 = 2/4x + 19/4
Simplify
12/4 = 7/4x + 19/4
-7/4 = 7/4x
x = -1 :)
Check:
3/4(-1) + 3 - 2(-1) = -1/4 + 1/2(-1) + 5
-3/4 + 3 + 2 = -1/4 - 1/2 + 5
-3/4 + 5 = -3/4 + 5
-3/4 = -3/4 :)
Are there any parentheses in the problem?
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:
