Solve the equation: 7e10x + 50 = 400 .

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
icon
Related questions
Question
Solve the equation: 7e10x + 50 = 400 .
Report an exact answer (involving logarithms) as well as a numerical approximation to 3 decimal places.
(a)
What is an acceptable first step in finding the exact solution of the equation 7e10x + 50 = 400?
7e10x = 450
10x In(7 · e) +ln 50 = ln 400 C 7e10x
7e10x
56x + In 50 = In 400
Te10x = 50
350
= 8
(b)
What is the exact solution in terms of natural logarithms?
Simplify your answer. Do not use a common logarithm.
X =
Number
(c)
What is the decimal approximation for your answer? Report to three decimal places.
Number
Transcribed Image Text:Solve the equation: 7e10x + 50 = 400 . Report an exact answer (involving logarithms) as well as a numerical approximation to 3 decimal places. (a) What is an acceptable first step in finding the exact solution of the equation 7e10x + 50 = 400? 7e10x = 450 10x In(7 · e) +ln 50 = ln 400 C 7e10x 7e10x 56x + In 50 = In 400 Te10x = 50 350 = 8 (b) What is the exact solution in terms of natural logarithms? Simplify your answer. Do not use a common logarithm. X = Number (c) What is the decimal approximation for your answer? Report to three decimal places. Number
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Linear Equations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education