Log base 4 64 without using a calculator

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  • Thread starter Thread starter sarahowen
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Discussion Overview

The discussion centers around finding the value of log base 4 of 64 without using a calculator. Participants explore methods to derive the answer through reasoning and manipulation of logarithmic properties.

Discussion Character

  • Exploratory, Mathematical reasoning

Main Points Raised

  • One participant expresses confusion about how to calculate log base 4 of 64 and seeks assistance.
  • Another participant suggests that log_4(64) is equivalent to finding x such that 4^x = 64, prompting a guessing approach.
  • A third participant provides a solution by rewriting 64 as 4^3, leading to the conclusion that log_4(64) equals 3.
  • A final participant expresses gratitude and indicates that they now understand the concept better.

Areas of Agreement / Disagreement

Participants appear to agree on the method of solving log base 4 of 64, with one participant providing a solution that others acknowledge. However, the initial confusion remains unaddressed in terms of broader understanding.

Contextual Notes

The discussion does not address potential limitations in understanding logarithmic properties or the assumptions made in the manipulation of the logarithmic equation.

sarahowen
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i don't understand how to find the exact answer to log base 4 64 without using a calculator. can anyone help?my teacher gave examples but they are on bad photocopies
sarah
 
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log_4(64) is the number x such that 4^x = 64. Have you tried to guess the solution?
 
Hes right.
[tex]log_4 64 = log_4 4^3 = 3log_4 4 = 3(1) = 3[/tex]
 
thanks guys i totally get itnow and idont feel too stuupid anymore!
 

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