Answer:
x=7
Step-by-step explanation:
ln(x)+ln(x-3)=ln(4x)
x≥0,x≥3
combining x≥3
ln[x(x-3)]=ln(4x)
x(x-3)=4x
x²-3x-4x=0
x²-7x=0
x(x-7)=0
x=0(rejected),7
Answer:
Option D is correct.
and
Step-by-step explanation:
Floor function states that the greatest integer that is less than or equal to x.
It is represented by: 
Ceiling function states that the least integer that is greater than or equal to x.
It is represented by: 
As per the statement:-
Kareem wrote the values show below:
,
,
and
.
by definition:
= 4
= 2
=3
= 4
From the given options only pair which is equivalent is:
and
The answer is C to the question
Let x be the number.
"twelve decreased by twice a number" ---> 12 - 2x
"8 times the sum of number and 4" ---> 8(x + 4)
12 - 2x = 8(x + 4)
12 - 2x = 8x + 32 (distributive property)
12 = 10x + 32 (add 2x to both sides)
-20 = 10x (subtract 32 from both sides)
x = -2 (divide both sides by 10)