We appreciate your visit to Identify the expression equivalent to tex frac log 2 128 log 2 16 tex A tex log 128 16 tex B tex log 16 128. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To solve the problem of identifying the expression equivalent to [tex]\(\frac{\log _2 128}{\log _2 16}\)[/tex], we can use a fundamental property of logarithms.
One useful property is:
[tex]\[
\frac{\log_a b}{\log_a c} = \log_c b
\][/tex]
This tells us that when you divide two logarithms with the same base, you can rewrite it as a single logarithm with the denominator’s value as the new base and the numerator's value as the argument (or power that the base must be raised to).
Applying this property to our expression:
[tex]\[
\frac{\log_2 128}{\log_2 16} = \log_{16} 128
\][/tex]
Thus, the expression equivalent to [tex]\(\frac{\log _2 128}{\log _2 16}\)[/tex] is [tex]\(\log_{16} 128\)[/tex].
Therefore, the correct choice is:
[tex]\[
\log_{16} 128
\][/tex]
One useful property is:
[tex]\[
\frac{\log_a b}{\log_a c} = \log_c b
\][/tex]
This tells us that when you divide two logarithms with the same base, you can rewrite it as a single logarithm with the denominator’s value as the new base and the numerator's value as the argument (or power that the base must be raised to).
Applying this property to our expression:
[tex]\[
\frac{\log_2 128}{\log_2 16} = \log_{16} 128
\][/tex]
Thus, the expression equivalent to [tex]\(\frac{\log _2 128}{\log _2 16}\)[/tex] is [tex]\(\log_{16} 128\)[/tex].
Therefore, the correct choice is:
[tex]\[
\log_{16} 128
\][/tex]
Thanks for taking the time to read Identify the expression equivalent to tex frac log 2 128 log 2 16 tex A tex log 128 16 tex B tex log 16 128. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
