Question

The tables below show the values of f(x) and g(x) for different values of x:

f(x) = 2(3)x
x f(x)
−2 0.22
−1 0.67
0 2
1 6
2 18
g(x) = 3x + 3
x g(x)
−2 3.11
−1 3.33
0 4
1 6
2 12
Based on the tables, what is the solution to the equation 2(3)x = 3x + 3?
A)x=-1
B)x=0
C)x=1
D)X=6

Answer 1

X will equal 1

Answer 2

Hello,

Answer C) x=1 for 3^1+3=3+3=6 and 2*3^1=2*3=6

Without the tables:
2*3^x=3^x+3
==> 2*3^x-3^x=3
==>3^x * (2-1)=3
==>3^x=3^1
==>x=1