Evaluate the following expression. You should do this problem without a calculator. log4 4 A. 4 B. C. 8 D. 1 SUBMIT
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Given:
The given expression is:
[tex]\log_44[/tex]
To find:
The simplified value for the given expression.
Solution:
According to the property of logarithm,
[tex]log_aa=1[/tex]
We have,
[tex]\log_44[/tex]
Here, the base of the logarithm is 4 and the value inside the log is also 4, since these two values are same therefore the value of this expression is 1 by using the above property of logarithm.
[tex]\log_44=1[/tex]
Hence, the correct option is D.
By evaluating log4 4 without a calculator, we discover that it is equal to 1.