Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

$7-8$ Logarithmic and Exponential Forms Complete the tableby finding the appropriate logarithmic or exponential form of theequation, as in Example 1 .

$$\begin{array}{ll}{\log _{4} 64=3} & {4^{1 / 2}=2} \\ {\log _{4} 8=3 / 2} & {4^{1 / 2}=1 / 16} \\ {\log _{4} 1 / 32=-5 / 2} & {4^{-1 / 2}=1 / 2}\end{array}$$

Algebra

Chapter 4

Exponential and Logarithmic Functions

Section 3

Logarithmic Functions

Oregon State University

Idaho State University

Lectures

00:57

Complete the table by find…

01:00

02:00

Logarithmic and Exponentia…

02:17

01:20

00:54

00:47

Write each logarithmic equ…

00:48

00:11

Write each as an exponenti…

01:01

Write each exponential equ…

00:39

00:12

00:10

Write the equation in expo…

Write in logarithmic form.…

00:50

01:15

Write the exponential equa…

00:20

00:14

Here we convert from log to exponential and exponential to log form. First, we are given log to the base. 88 equals 1 that can be written as 8 raised to 1 equals 8. Then we are given log base 864 equals to. This can be written as 8 raised to 2 equals 64 point. Then we are given 8 raised to 2 upon 3 equals 4, and this can be written as log to the base. 84 equals 2 upon 3. Then we have 8 raised to 3 equals 512. This can be written as log to the base 8512 equals 3. Then we have log to the base. 81 upon 8 equals minus 1. This can be written as 8 raised. 2, minus 1 equals 1 upon 8 and then finally, we have 8 raise 2. Minus 2 equals 1 upon 64 point. This can be written as log to the base at 1, upon 64 equals minus 2.

View More Answers From This Book

Find Another Textbook

Numerade Educator

Complete the table by finding the appropriate logarithmic or exponential for…

Logarithmic and Exponential Forms Complete the table by finding the appropri…

Write each logarithmic equation as an exponential equation. See Example 1. D…

Write each as an exponential equation. See Example 1.$$\log _{8} y=7…

Write each exponential equation as a logarithmic equation and each logarithm…

Write each as an exponential equation. See Example 1.$$\log _{7} \sq…

Write the equation in exponential form. (See Example 1.)$$\log _{2} 7=x$…

Write the equation in exponential form. (See Example 1.)$$\log _{2} 128=…

Write in logarithmic form. See Example 1.$$7^{0}=1$$

Write each as an exponential equation. See Example $I$.$$\log _{7} \…

Write the exponential equation in logarithmic form. For example, the logarit…

Write in logarithmic form. See Example 1.$$\sqrt[3]{343}=7$$

Write in logarithmic form. See Example 1.$$\left(\frac{1}{2}\right)^…

03:09

End Behavior Graph the rational function, and find all vertical asymptotes, …

01:02

Bacteria Growth A bacteria culture contains 1500 bacteria initially and doub…

03:05

$47-64=$ Finding Complex Zeros Find all zeros of thepolynomial.

…

01:18

23-48 Expanding Logarithmic Expressions Use the Laws ofLogarithms to exp…

The logarithmic function $f(x)=\ln (x-1)$ has the__________asymptote $x=$___…

01:36

End Behavior Graph the rational function $f,$ and determine all vertical asy…

01:05

Finding Values of an Inverse Using a Table $A$ table ofvalues for a one-…

$53-56=$ Factor Theorem Use the Factor Theorem to show that$x-c$ is a fa…

01:30

$19-36=$ Complete Factorization Factor the polynomialcompletely, and fin…

02:13

Population Change The rabbit population on a small islandis observed to …