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Answer: Value of log2 100 is about 4 times the value of log6 20.

log2^100 is equal to about 6.64 in decimal form.

log6^100 is equal to about 1.67 in decimal form.

So, the value of log2 100 is about 4 times greater than the value of log6 100.

[tex]log_{2} 100[/tex] is greater than [tex]log_{6} 20[/tex] by [tex]2.3219281898[/tex].

What is the comparison of two numbers?

Comparison of numbers defines the similar properties between two numbers, and the number is greater than, smaller than or equal to another number.

According to the given question.

Two log functions [tex]log_{2} 100[/tex] and [tex]log_{6} 20[/tex].

Since,

The value of [tex]log_{2} 100[/tex] is [tex]6.6438561898[/tex].

And, the value of [tex]log_{6} 20[/tex] is [tex]4.321928[/tex]

For comparison or these two log function we do subtraction.

Therefore,

[tex]6.6438561898-4.321928 =2.3219281898[/tex]

Hence, [tex]log_{2} 100[/tex] is greater than [tex]log_{6} 20[/tex] by [tex]2.3219281898[/tex].

Find out more information of comparison of two numbers:

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