/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 307 In the following exercises, solv... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 10: Q. 307 (page 1054)

In the following exercises, solve each exponential equation. Find the exact answer and then approximate it to three decimal
places.

2x=74

Short Answer

Expert verified

The exact solution of the exponential equation 2x=74is x=log(74)log(2)and the approximate solution is 6.209which is rounded to three decimal places.

Step by step solution

01

Step 1. Given

An exponential equation2x=74

To solve the exponential equation

02

Step 2. Take logarithm on both sides

Since the exponential is isolated, take the logarithm of both sides.

log(2x)=log(74)

03

Step 3. Use the Power Property

Use the Power Property to get the xas a factor, not an exponent.

xlog(2)=log(74)

04

Step 4. Solve for x 

Solve for xand find the exact answer.

xlog(2)=log(74)x=log(74)log(2)

05

Step 5. Approximate the answer

x=log(74)log(2)=6.209

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

In the following exercises, find the inverse of each function.

f(x)=x6

Convert from exponential to logarithmic form:

3-2=19.

In the following exercises, find the inverse of each function.

f(x)=7x-1

In the following exercises, solve each logarithmic equation,loga81=2

Verify that the functions are inverse functions.

f(x)=2x+6

g(x)=x-62
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Logic and Functions

Read Explanation

Statistics

Read Explanation

Decision Maths

Read Explanation

Calculus

Read Explanation

Discrete Mathematics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.