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

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SUMMARY

The discussion focuses on calculating logarithms with base 2 using a scientific calculator, specifically solving the equation 2^x = 1500. Participants confirm that scientific calculators typically default to base 10 logarithms. The change of base formula is provided: log_b a = log_k a / log_k b, where k is the base used on the calculator, typically base 10. Users can substitute a with 1500 and b with 2 to find the required logarithm.

PREREQUISITES
  • Understanding of logarithmic functions and their properties.
  • Familiarity with scientific calculators and their logarithmic functions.
  • Knowledge of the change of base formula for logarithms.
  • Basic algebra skills to manipulate equations.
NEXT STEPS
  • Research the change of base formula for logarithms in depth.
  • Learn how to use different scientific calculators for logarithmic calculations.
  • Explore logarithmic identities and their applications in solving equations.
  • Study the properties of exponential functions and their inverses.
USEFUL FOR

Students, educators, and anyone needing to solve logarithmic equations, particularly those using scientific calculators for mathematical computations.

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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.

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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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