Open In App

Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

Chapter 5: Q 37. (page 308)

Write each expression as a sum and/or difference of logarithms. Express powers as factors.
$\log_{5} (25 x)$

Short Answer

Expert verified

The result is $2 + \log_{5} x$ .

Step by step solution

Step 1. Given information.

Consider the given information.

$\log_{5} (25 x)$

Step 2. Calculation.

Apply the logarithm property to simplify.

$\begin{array}{l} \log_{5} (25 x) = \log_{5} 25 + \log_{5} x \\ = \log_{5} 5^{2} + \log_{5} x \\ = 2 \log_{5} 5 + \log_{5} x \\ = 2 + \log_{5} x \end{array}$

Step 3. Conclusion.

The obtained result is $2 + \log_{5} x$ .

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

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

Solve the equation $2^{- x} = 16$

and verify your results using a graphing utility

Begin with the graph of $y = e^{x}$ and use transformation to graph the function. Determine the domain, range and horizontal asymptote of the function.

$f (x) = 7 - 3 e^{2 x}$

the function f is one-to-one. Find its inverse and check your answer.

$f (x) = \frac{x^{2} + 3}{3 x^{2}} x > 0$

The domain of one to one function g is $[0, 15]$ ,and its range is $(0, 8)$ . State the domain and range of $g^{- 1}$

The graph of an exponential function is given. Match each graph to one of the following functions.

See all solutions

Recommended explanations on Math Textbooks

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free

Write each expression as a sum and/or difference of logarithms. Express powers as factors.
$\log_{5} (25 x)$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Calculation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Pure Maths

Geometry

Logic and Functions

Statistics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Company

Product

Help

Write each expression as a sum and/or difference of logarithms. Express powers as factors.log525x

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Calculation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Pure Maths

Geometry

Logic and Functions

Statistics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Write each expression as a sum and/or difference of logarithms. Express powers as factors.
$\log_{5} (25 x)$