Question

Solve the following equations for $x$ $2^{4-x}=8$

   Solve the following equations for $x$ 
$2^{4-x}=8$

Calculus and Its Applications

Calculus and Its Applications

Larry J. Goldstein,… 13th Edition

Chapter 4, Problem 22

Instant Answer

Solved by Expert Darshan Maheshwari

08/31/2021

Step 1

We can rewrite 8 as $2^3$ since 2 multiplied by itself 3 times equals 8. So, the equation becomes $2^{4-x}=2^3$. Show more…

Show all steps

lock

Thanks for your feedback!

Solve the following equations for $x$ $2^{4-x}=8$

Play audio

Feedback

Powered by NumerAI

Darshan Maheshwari and 76 other subject Calculus 1 / AB educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Exponential Equations

An exponential equation is one in which the variable appears in the exponent. Solving such equations often involves rewriting the equation so that both sides have the same base, allowing for the exponents to be directly compared.

Rewriting Expressions to a Common Base

This concept involves expressing different numbers as powers of the same base. When both sides of an equation are written with the same base, the exponents can be equated, which transforms an exponential equation into a simpler algebraic form.

Algebraic Manipulation

Once an exponential equation has been rewritten with a common base, standard algebraic techniques are used to solve for the variable. This typically involves operations such as subtracting or adding terms to both sides of the equation to isolate the variable.

Recommended Videos

Transcript

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later