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$17-24=$ Logarithmic Form Express the equation in logarithmicform.$${ (a) }\ e^{x}=2 \quad \text { (b) } e^{3}=y$$

a. $e^{x}=2 \leftrightarrow \ln 2=x$b. $e^{3}=y \leftrightarrow \ln y=3$

Algebra

Chapter 4

Exponential and Logarithmic Functions

Section 3

Logarithmic Functions

Missouri State University

Campbell University

University of Michigan - Ann Arbor

Lectures

01:40

$17-24=$ Logarithmic Form …

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01:47

01:31

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01:39

$17-24$ Logarithmic Form E…

01:05

Logarithmic Form Express t…

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00:08

Write the equation in loga…

00:09

02:27

$9-14$ Express the equatio…

00:47

Exponential Form Express t…

01:44

$9-16$ Exponential Form Ex…

00:13

Express each exponential e…

00:24

In Exercises $19-24$ , wri…

00:25

Write each exponential equ…

but let's look at the procedure off changing from exponential form to logarithmic form first. So if I have the exponential form off A to the power off eggs equal to some B thing to change this into logarithmic form will have the log off and the base off the lock is the base off the exponents. So therefore it will be logged a and then the B goes into the log on the exponents, the eggs goes to the other the right hand side, and that is changing from exponential form to logarithmic form. So let's apply it to the question. So at I it is he to the power off X equal to two. So in our lock, the E is the base. Then the two inside the log and the eggs go see the other side onto the right hand side. Now, remember that block to the bites off E is the natural lock. So we can rewrite this as Lynn to equal to eggs. So let's who could be B? Is each of the power off three equal to why, Right? So in the lock, the base is E. Why equal to the exponents, which is three. And then again because Locke is the Eastern Natural Law. I can rewrite. Rewrite This s Lynn off. Why? Equal to three.

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