Question

The function f is given by f (x) = a * c^x, where a > 0 and c > 1. Which of the following is true about the values of constants m and b in the equation ln(f (x)) = mx + b? m > 0 because ln(c) > 0; b > 0 because a > 0. m > 0 because ln(c) > 0; b can be any real number because ln(a) can be any real number. m can be any real number because ln(c) can be any real number; b > 0 because a > 0. m can be any real number because ln(c) can be any real number; b can be any real number because ln(a) can be any real number.

          The function f is given by f (x) = a * c^x, where a > 0 and c > 1. Which of the following is true about the values of constants m and b in the equation ln(f (x)) = mx + b?
m > 0 because ln(c) > 0; b > 0 because a > 0.
m > 0 because ln(c) > 0; b can be any real number because ln(a) can be any real number.
m can be any real number because ln(c) can be any real number; b > 0 because a > 0.
m can be any real number because ln(c) can be any real number; b can be any real number because ln(a) can be any real number.

The function f is given by f (x) = a * c^x, where a > 0 and c > 1. Which of the following is true about the values of constants m and b in the equation ln(f (x)) = mx + b?
m > 0 because ln(c) > 0; b > 0 because a > 0.
m > 0 because ln(c) > 0; b can be any real number because ln(a) can be any real number.
m can be any real number because ln(c) can be any real number; b > 0 because a > 0.
m can be any real number because ln(c) can be any real number; b can be any real number because ln(a) can be any real number.

Added by Brandon R.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Oswaldo Jiménez

02/05/2024

Step 1

Logarithmic equation: \( \ln(f(x)) = mx + b \). Show more…

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The function f is given by f (x) = a * c^x, where a > 0 and c > 1. Which of the following is true about the values of constants m and b in the equation ln(f (x)) = mx + b? m > 0 because ln(c) > 0 ; b > 0 because a > 0 . m > 0 because ln(c) > 0 ; b can be any real number because ln(a) can be any real number. m can be any real number because ln(c) can be any real number ; b > 0 because a > 0 . m can be any real number because ln(c) can be any real number ; b can be any real number because ln(a) can be any real number.