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Logarithmic Function Manipulation

Alice White

Alice White

8 min read

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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.

Question 1 of 11

If by=xb^y = x, which of the following is the equivalent logarithmic form? ๐Ÿš€

y=logโกx(b)y = \log_x(b)

x=logโกb(y)x = \log_b(y)

y=logโกb(x)y = \log_b(x)

b=logโกy(x)b = \log_y(x)