Solving Exponential and Logarithmic Equations Assignment 2

Solve es001-1.jpg by graphing. Round to the nearest tenth.

1.8

A computer was originally purchased for $900 and undergoes a 14% annual depreciation rate. The computer is now worth $364. The number of years that have passed, t, since the computer was purchased can be found using the following equation: 364 = 900(1 − 0.14)t Solve the equation by graphing to determine how many years have passed since the computer was purchased. Round to the nearest whole year.

6 years

To solve e4 - 3x = mr001-1.jpgx + 9 by graphing, which equations should be graphed?

B E

Which graph shows the solution to the equation 4x - 3 = 8?

C

What is the solution to the equation mc001-1.jpg? Round to the nearest tenth. 0.6 0.7 1.6 5.2

0.6

Use the given graph to determine if there are any solutions to the equation −(5)3 − x + 4 = −2x.

A The solution is approximately 1.7 because it is the x-value of the intersection of the functions.

Find the solutions to the equation 102x + 11 = (x + 6)2 - 2. Which values are approximate solutions to the equation? Check all that apply.

A D

Complete the steps to solve the equation 4e2 + 2x = x − 3 by graphing. Write a system of equations. y = 4e2 + 2x and y = Graph the system. Use the graphing calculator to graph each equation. Identify the solutions. The of the points where the graphs of the equations intersect are the solutions to the original equation. The equation 4e2 + 2x = x - 3 has .

x-3 x-coordinates no solution