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lawyer [7]
3 years ago
10

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

Mathematics
2 answers:
max2010maxim [7]3 years ago
4 0

Answer:

A.

Step-by-step explanation:

SCORPION-xisa [38]3 years ago
3 0

Answer:

  • The value of   \log_2 100   is about 4 times the value of    \log_6 20

Explanation:

<u>1. Change of base rule</u>

       \log_ab=\dfrac{\log_{10}b}{\log_{10}a}=\dfrac{\log b}{\log a}

<u>2. Apply change of base rule to each of the given logarithm</u>

       \log_2 100=\dfrac{\log 100}{\log 2}\approx 6.64

       \log_6 20=\dfrac{\log 20}{\log 6}\approx 1.67

<u>3.Compare</u>

          \dfrac{6.64}{1.67}\approx 3.97\approx 4

<u>4. Conclusion</u>

The value   \log_2 100   is about 4 times the value of   \log_6 20

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