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ryzh [129]
2 years ago
14

Evaluate each logarithm. log₄2

Mathematics
1 answer:
olga nikolaevna [1]2 years ago
8 0

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 a^{k} = 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 2^{2}

= log 2/ 2 log 2

= 1/2

Thus, the value of log₄2 is 1/2.

Learn more about logarithms here-

https://brainly.in/question/6663314

#SPJ4

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