Stuck on this one... logf(x) = ax + b. Given that f(0) = 1 and f(1) = e^2, find the constraints a and b and hence find f(x). Thanks
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Originally Posted by classicstrings Stuck on this one... logf(x) = ax + b. Given that f(0) = 1 and f(1) = e^2, find the constraints a and b and hence find f(x). Thanks I suppose this is log to the base 10 f(0) = 1 => log(1) = a(0) + b => 0 = b f(1) = e^2 => log(e^2) = a(1) + b .........but b = 0 => log(e^2) = a so logf(x) = xlog(e^2) + 0 = xlog(e^2) => logf(x) = log(e^2x) => f(x) = e^2x
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