Answer:
x=8
Step-by-step explanation:
−2x−40=8(1−x)
Step 1: Simplify both sides of the equation.
−2x−40=8(1−x)
−2x+−40=(8)(1)+(8)(−x)(Distribute)
−2x+−40=8+−8x
−2x−40=−8x+8
Step 2: Add 8x to both sides.
−2x−40+8x=−8x+8+8x
6x−40=8
Step 3: Add 40 to both sides.
6x−40+40=8+40
6x=48
Step 4: Divide both sides by 6.
to get the answer
x=8
From 1st condition:
3^(x+1)=81
Take log on both sides,
➡ log [3^(x+1)]=log81
Use the property: log(x^a)=a logx
➡ (x+1) log 3=log(3⁴)
➡ (x+1) log 3=4×log 3
➡ (x+1)=4 (log 3 /log 3)
➡ x+1=4
➡ x=3➡↪➡↪ ANS
From 2nd condition, (Same process are repeated)
81^(x-y)=3
➡ 3^4(x-y)=3
➡ log [3^4(3-y)]=log 3
➡ 4(3-y) log 3=log 3
➡ (3-y)=(log 3)/(4log 3)
➡ 3-y=(1/4)
➡ y=11/4 ➡↪➡↪ ANS
First, we distribute the 2 through the parenthesis.
3x+2x+8=5(x+1)+3
Then we distribute the 5 through the parenthesis
3x+2x+8=5x+5+3
Collect the like terms
5x+8=5x+5+3
Add the numbers
5x+8=5x+8
The statement is true for any value of x, because both sides are identical
ANSWER
2(32-343x)
As calculated in the photo above
