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26 votes
How does the value of log Subscript 2 Baseline 100 compare with the value of Log Subscript 6 Baseline 20?.

User Joe Winfield
by
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2 Answers

5 votes
5 votes

Answer:

The value of Log 2 ^ 100 is about 4 times the value of Log 6 ^ 20.

Explanation:

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User Chazy Chaz
by
2.6k points
11 votes
11 votes

You can use the change of base formula to get


\log_2(100) = (\log(100))/(\log(2)) \approx 6.643856

and also


\log_6(20) = (\log(20))/(\log(6)) \approx 1.671950

In general, the change of base formula is


\log_b(x) = (\log(x))/(\log(b))

User Efrat
by
3.1k points