91Ó°ÊÓ

Fill in the blanks. The graph of a Gaussian model is ________ shaped, where the ________ ________ is the maximum \( y \)-value of the graph.

In Exercises 4 - 6, match the property of logarithms with its name. \( \log_a(uv) = \log_a u + \log_a v \) (a) Power Property (b) Quotient Property (c) Product Property

Fill in the blanks. The exponential function given by \( f(x) = e^x \) is called the ________ ________ function,and the base \( e \) is called the ________ base.

In Exercises 5 - 12, determine whether each \( x \)-value is a solution (or an approximate solution) of the equation. \( 4^{2x - 7} = 64 \) (a) \( x = 5 \) (b) \( x = 2 \)

In Exercises 4 - 6, match the property of logarithms with its name. \( \ln u^n = n \ln u \) (a) Power Property (b) Quotient Property (c) Product Property

In Exercises 5 - 12, determine whether each \( x \)-value is a solution (or an approximate solution) of the equation. \( 2^{3x + 1} = 32 \) (a) \( x = -1 \) (b) \( x = 2 \)

In Exercises 4 - 6, match the property of logarithms with its name. \( \log_a \dfrac{u}{v} = \log_a u - \log_a v \) (a) Power Property (b) Quotient Property (c) Product Property

Fill in the blanks. A logistic curve is also called a ________ curve.

Fill in the blanks. The domain of the natural logarithmic function is the set of ________ ________ ________ .

In Exercises 7 - 14, write the logarithmic equation in exponential form. For example, the exponential form of \( \log_5 25 = 2 \) is \( 5^2 = 25 \). \( \log_4 16 = 2 \)