SOLUTION: Hi i have a homework question that i can seem to answer. the question is: Show that an exponential function y==ab^cx can be re-written as y=ae^dx Any help would be much appreciate

Algebra ->  Exponents -> SOLUTION: Hi i have a homework question that i can seem to answer. the question is: Show that an exponential function y==ab^cx can be re-written as y=ae^dx Any help would be much appreciate      Log On


   

Question 855079: Hi i have a homework question that i can seem to answer. the question is: Show that an exponential function y==ab^cx can be re-written as y=ae^dx
Any help would be much appreciated
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
y=ab%5E%28cx%29%22%22=%22%22a%28b%5Ec%29%5Ex%29%22%22=%22%22

We use the identity  z=e%5E%28ln%28z%29%29 to rewrite b%5Ec

%22%22=%22%22

let d=c%2Aln%28b%29, and the above becomes:

y=ae%5E%28d%2Ax%29

Edwin