The value of the logarithmic expression \log_{2}16

nicekikah

nicekikah

Answered question

2021-09-22

The value of the logarithmic expression log216

Answer & Explanation

liannemdh

liannemdh

Skilled2021-09-23Added 106 answers

Step 1
Concept Used:
Power property of logarithm logb(ar)=rlogb(a)
logbbx=x
To find the value of the given logarithmic expression first we will rewrite 16 in exponent form as an exponent of base 2 and then use the power property of the logarithm. So we get
log216=log224
=4log2(2) Using power property
Now to simplify further, we use the same base formula logbbx=x, to get
log216=log224
=4log2(2) Using power property
=41
=4
Hence, the value of the given logarithmic expressionis 4.

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