2.. expecting something else ?
Answer:
B. 5
Step-by-step explanation:
Step 1: Rewrite the equation a bit
![\frac{7^\frac{3}{4}}{7^\frac{x}{8}}=\sqrt[8]{7}\\7^\frac{3}{4}^-^\frac{x}{8}=7^\frac{1}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B7%5E%5Cfrac%7B3%7D%7B4%7D%7D%7B7%5E%5Cfrac%7Bx%7D%7B8%7D%7D%3D%5Csqrt%5B8%5D%7B7%7D%5C%5C7%5E%5Cfrac%7B3%7D%7B4%7D%5E-%5E%5Cfrac%7Bx%7D%7B8%7D%3D7%5E%5Cfrac%7B1%7D%7B8%7D)
Step 2: Place a logarithm base 7 on both sides
Step 3: Solve for x
Neat exponent question :)
A.)
x y
1 1
2 4
3 9
dx=2-1→dx=1 dy=4-1→dy=3
dx=3-2→dx=1 dy=9-4→dy=5 different to 3, then this table can not be represented by a line
B.)
x y
1 2
2 5
3 10
dx=2-1→dx=1 dy=5-2→dy=3
dx=3-2→dx=1 dy=10-5→dy=5 different to 3, then this table can not be represented by a line
C.)
x y
1 3
2 6
3 9
dx=2-1→dx=1 dy=6-3→dy=3
dx=3-2→dx=1 dy=9-6→dy=3, then this table can be represented by a line
D.)
x y
1 0
2 3
3 8
dx=2-1→dx=1 dy=3-0→dy=3
dx=3-2→dx=1 dy=8-3→dy=5 different to 3, then this table can not be represented by a line
Answer: Option C. x 1 2 3 y 3 6 9
1+3x /4= 5/2
1+3x = 5*4/2
1+3x =10
3x =9
x = 3
