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Fantom [35]
2 years ago
11

if log 2 = ( 0.3010 ), Log 3 = ( 0.4771 ) and Log 5 = ( 0.6990 ) then find the value of the following: Log 24... The answer is (

1.3801 ) I have it from Book, please Just Prove it How!!!
Mathematics
1 answer:
tekilochka [14]2 years ago
4 0

Answer: 1. 3801

Step-by-step explanation:

Log 24 = Log(8x3)

From the laws of Logarithm

Log ( a xb) = Log a + Log b

so, Log (8x3) = Log8 + Log 3

Also Log 8 can be written as Log2^{3} since 2^{3} is still 8 , so the expression becomes

Log2^{3} + Log 3

⇒ 3 Log 2 + Log 3

since the value of Log 2 and Log 3 has been given , substitute into the expression , we have

3 (0.3010) + 0.4771

= 0.903 + 0.4771

= 1.3801

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aev [14]

Answer:

37/6

Step-by-step explanation:

Simplify the following:

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