SOLUTION: Write the exponential equation passing through the points (3, 8) and (7, 58).

Algebra ->  Linear-equations -> SOLUTION: Write the exponential equation passing through the points (3, 8) and (7, 58).      Log On


   

Question 1157787: Write the exponential equation passing through the points (3, 8) and (7, 58).
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
Write the exponential equation passing through the points (3,+8) and (7, 58).

f%28x%29=a%2Ab%5Ex......use first point
8=a%2Ab%5E3
a=8%2Fb%5E3.....eq.1


58=a%2Ab%5E7......use second point
a=58%2Fb%5E7.....eq.2
from eq.1 and eq.2 we have

8%2Fb%5E3=58%2Fb%5E7
b%5E7%2Fb%5E3=58%2F8
b%5E4=58%2F8
b%5E4=29%2F4
matrix%282%2C1%2C%22%22%2Cb=29%5E%281%2F4%29%2Fsqrt%282%29%29


matrix%282%2C1%2C%22%22%2Ca=8%2F%28%2829%2F4%29%5E%281%2F4%29%2Fsqrt%282%29%29%5E3%29.....eq.1

matrix%282%2C1%2C%22%22%2Ca=%2816sqrt%282%29%29%2F29%5E%283%2F4%29%29


your exponential equation is: