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  3. AP Pre-Calculus
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Logarithmic Function Manipulation

Alice White

Alice White

8 min read

Next Topic - Exponential and Logarithmic Equations and Inequalities
Study Guide Overview

This study guide covers logarithmic function manipulation, focusing on the relationship between logarithmic and exponential functions. Key properties include the Product, Power, and Change of Base rules, along with their graphical interpretations. It also emphasizes natural logarithms (ln) and their relationship to e. Finally, the guide provides practice questions and exam tips covering simplifying expressions, solving equations, graphing, and applications of logarithms.

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Previous Topic - Logarithmic FunctionsNext Topic - Exponential and Logarithmic Equations and Inequalities

Question 1 of 11

If by=xb^y = xby=x, which of the following is the equivalent logarithmic form? 🚀

y=log⁡x(b)y = \log_x(b)y=logx​(b)

x=log⁡b(y)x = \log_b(y)x=logb​(y)

y=log⁡b(x)y = \log_b(x)y=logb​(x)

b=log⁡y(x)b = \log_y(x)b=logy​(x)