How do you find the exponential function formula for the points (32,6) and (48,14)?

##y = 1.10204*e^{0.0529561*x}##

The exponential function formula has the structure given by ##y = c*e^{a*x}## with ##c, a## real constants and ##e## the natural logarithm basis. Now taking the values given ##6 = c*e^{a*32}## ##14=c*e^{a*48}## and solving for ##c, a## we get ##c = 1.10204, a = 0.0529561##