The value of the expression log₄2 is 1/2.
The logarithmic function is the inverse of the exponential function. This means that the logarithm of a given number, say x, is the exponent to which another fixed number that is the base b, must be raised, so as to produce that number x.
Log a to the base b can be written as- log a/ log b.
Moreover, log = k log a, for all non negative values of a
Here, we are given a logarithmic expression- log₄2
We can expand this as-
log₄2 = log 2/ log 4
= log 2/ log
= log 2/ 2 log 2
= 1/2
Thus, the value of log₄2 is 1/2.
Learn more about logarithms here-
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