Question

Solve the following equations. $$2^{x}=55$$

   Solve the following equations.
$$2^{x}=55$$

Calculus: Early Transcendentals

Calculus: Early Transcendentals

William Briggs, Lyle… 3rd Edition

Chapter 1, Problem 58

Instant Answer

Solved by Expert Isabelle Maxwell

05/31/2020

Step 1

Step 1: We start with the given equation: $$2^{x}=55$$ Show more…

Show all steps

lock

Thanks for your feedback!

Solve the following equations. $$2^{x}=55$$

Play audio

Feedback

Powered by NumerAI

Isabelle Maxwell and 82 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

Solving Exponential Equations

To solve exponential equations like 2^x = 55, one typically takes the logarithm of both sides, allowing the exponent to be brought down as a multiplier. This procedure utilizes the property log(a^b) = b * log(a), which simplifies the equation and makes it easier to isolate the variable.

Logarithms

Logarithms serve as the inverse operation of exponentiation. They allow us to solve equations where the unknown variable is an exponent by transforming the exponential equation into a logarithmic one, effectively 'undoing' the exponentiation.

Exponential Functions

Exponential functions, such as f(x) = 2^x, are mathematical expressions in which the variable appears in the exponent. They exhibit rapid growth or decay and are fundamental in modeling processes where the rate of change is proportional to the current value.

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