2.13

Topic

Exponential and Logarithmic Equations and Inequalities

Practice by unit: Exponential and Logarithmic Functions

Sub-standards

• 2.13.A.1 — Solve exponential and logarithmic equations and inequalities. Properties of exponents, properties of logarithms, and the inverse relationship between exponential and logarithmic functions can be used to solve equations and inequalities involving exponents and logarithms.
• 2.13.A.2 — When solving exponential and logarithmic equations found through analytical or graphical methods, the results should be examined for extraneous solutions precluded by the mathematical or contextual limitations.
• 2.13.A.3 — Logarithms can be used to rewrite expressions involving exponential functions in different ways that may reveal helpful information. Specifically, (logc b x )( ) b x = c .
• 2.13.B.1 — Construct the inverse function for exponential and logarithmic functions. − ) ( ) = ab (x h The function f x + k is a combination of additive transformations of an exponential function in general form. The inverse of y = f (x) can be found by determining the inverse operations to reverse the mapping.