SOLUTION: Determine at which points the graphs of the given pair of functions intersect: f(x) = 3^x and g(x) = 2^x^2

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Determine at which points the graphs of the given pair of functions intersect: f(x) = 3^x and g(x) = 2^x^2      Log On


   

Question 862987: Determine at which points the graphs of the given pair of functions intersect:
f(x) = 3^x and g(x) = 2^x^2
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
3%5Ex=%282%5E%28x%5E2%29%29-----
log%2810%2C3%5Ex%29=log%2810%2C2%5Ex%5E2%29
x%2Alog%2810%2C3%29=x%5E2%2Alog%2810%2C2%29
log%2810%2C2%29x%5E2-log%2810%2C3%29x=0
x%28log%2810%2C2%29x-log%2810%2C3%29%29=0
Either highlight%28x=0%29 OR log%2810%2C2%29x-log%2810%2C3%29=0
;
x%2Alog%2810%2C2%29=log%2810%2C3%29
x=log%2810%2C3%29%2Flog%2810%2C2%29
highlight%28x=log%2810%2C3%29%2Flog%2810%2C2%29%29
cross%28x=log%2810%2C%283%2F2%29%29%29

ADJUSTED