find the inverse of the given matrix (if it exists) using Theorem 3.8.

7.4 Exponential and Logarithmic Equations Copyright © Cengage Learning. All rights reserved. Introduction There are two basic strategies for solving exponential or logarithmic equations. The first is based on the One-to-One Properties and the second is based on the Inverse Properties. One-to-One Properties a = a if and only if x = y. logax = log a if and only if x = y. Inverse Properties a loa = x log a = x 2 Solving Simple Equations 3 Introduction 4 Example 1 Solve for x. a) 64 3x ▯ 32 2▯x b) e = 4 x 2x 1 c) e – 9 = 19 d) 5 ▯ 125 ▯x 5x▯6 x e) e ▯ e f) 5▯3e ▯ 2 5 Ex. 1 continued 2x▯5 2x x g) 2(3 )▯4 ▯11 h) e ▯3e ▯2 ▯ 0 −3 i) 3 = 81 j) 2 = −4 6 Solving Logarithmic Equations To solve a logarithmic equation, you can write it in exponential form. ln x = 3 Logarithmic form