the points (0,1), (1,14), and (2, 196) all lie on the line of the exponential function f(x)=14^x. On which log

Question

the points (0,1), (1,14), and (2, 196) all lie on the line of the exponential function f(x)=14^x. On which logarithmic function do the points (14, 1) and (196, 2) lie? RESPONSES: g(x)=log down 14 x, g(x)=log 14^x, g(x)=x^14, or g(x)= log x

GPT-5 mini · Answer

g(x) = log_14 x

Reason: g is the inverse of f(x)=14^x. Since 14 = 14^1 and 196 = 14^2, log_14(14)=1 and log_14(196)=2.

the points (0,1), (1,14), and (2, 196) all lie on the line of the exponential function f(x)=14^x. On which logarithmic function do the points (14, 1) and (196, 2) lie? RESPONSES: g(x)=log down 14 x, g(x)=log 14^x, g(x)=x^14, or g(x)= log x

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