Question 1 of 5 Table A
Table B
Х
у
х
y
1
3
3
1
2
6
6
2
3
9
9
3
Graph A
Graph B
10
12
11
10
9
5
4
8 9 10 11 12
1 2 3 4 5 6 7 8 9 10 11 12
Which table and graph represent the equation y = 3X?

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places