How Do You Calculate Log Base 2 on a Scientific Calculator?

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Homework Help Overview

The discussion revolves around solving the equation 2^x = 1500 for x, specifically focusing on how to calculate logarithm base 2 using a scientific calculator, which typically defaults to base 10 logarithms.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants explore the concept of changing the base of logarithms and inquire about the specific keystrokes needed on a calculator to compute log base 2. There is a discussion about the formula for changing bases and its application.

Discussion Status

Some participants have shared a formula for changing the base of logarithms, while others are seeking clarification on its application. One participant has expressed that they were able to resolve their issue after some discussion, indicating a productive exchange of ideas.

Contextual Notes

There is an underlying assumption that the calculator being used does not have a direct function for log base 2, leading to the exploration of alternative methods for calculation.

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Homework Statement


2^x=1500. solve for x. I need to know the key strokes on my scientific calculator. If I push log, it assumes log base 10. I need base 2.

Homework Equations





The Attempt at a Solution

 
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do you know of a formula that can be used to "change bases" for logs?
 
I don't recall it. Can you give it to me? Is there no way to find the log base 2 on a calculator?
 
If i remember right it's
log_b a = \frac{log_k a}{log_k b}
Where k is the base you're going to. In this case it would be base 10 so just log in your calculator.
 
What do you put in place of a and b?
 
I got that to work. I figured it out. Thanks a lot. It just seemed like there was a way to figure that out on a calculator but I can't remember for sure.


Starchild
 

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