If the exponential function f(x)= 9^x includes the point (2, 81) on the graph of the exponential curve, which

Question

If the exponential function f(x)= 9^x includes the point (2, 81) on the graph of the exponential curve, which point can be described as lying on the graph of the logarithmic function g(x)= log down 9 x? 
RESPONSES: (1,0), (81, 2), (1,9), or (2, 81)

GPT-5 mini · Answer

(81, 2)

Reason: g(x)=log_9 x is the inverse of f(x)=9^x, so swap coordinates of (2,81). Also log_9(81)=2 since 9^2=81.

If the exponential function f(x)= 9^x includes the point (2, 81) on the graph of the exponential curve, which point can be described as lying on the graph of the logarithmic function g(x)= log down 9 x?
RESPONSES: (1,0), (81, 2), (1,9), or (2, 81)

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If the exponential function f(x)= 9^x includes the point (2, 81) on the graph of the exponential curve, which point can be described as lying on the graph of the logarithmic function g(x)= log down 9 x? RESPONSES: (1,0), (81, 2), (1,9), or (2, 81)

All Answers 1

Submit Your Answer

If the exponential function f(x)= 9^x includes the point (2, 81) on the graph of the exponential curve, which point can be described as lying on the graph of the logarithmic function g(x)= log down 9 x?
RESPONSES: (1,0), (81, 2), (1,9), or (2, 81)