SOLUTION: two variable quantities x and y are related by equation y=a(b^x),whwre a and b are constant.When the graph is plotted showing values of ln y in vertical axis and the value of x on

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: two variable quantities x and y are related by equation y=a(b^x),whwre a and b are constant.When the graph is plotted showing values of ln y in vertical axis and the value of x on       Log On


   

Question 885736: two variable quantities x and y are related by equation y=a(b^x),whwre a and b are constant.When the graph is plotted showing values of ln y in vertical axis and the value of x on the horizontal axis the points lie on a straight line having gradient 1.8 and crossing the vertical axis at the point (0.4.1).Find the value of a and b
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
y=ab%5Ex, the association will not change anything.
ln%28y%29=ln%28ab%5Ex%29
ln%28y%29=ln%28a%29%2Bln%28b%5Ex%29
ln%28y%29=ln%28a%29%2Bx%2Aln%28b%29
highlight_green%28ln%28y%29=x%2Aln%28b%29%2Bln%28a%29%29------linear equation in slope-intercept form.

Slope, ln%28b%29=1.8
Vertical intercept, ln%28a%29=4.1
You want the Natural Antilogarithms of those.

b=6.05
a=60.34