Express the Following in Terms of Log 5 And/Or Log 2: Log20

Express the following in terms of log 5 and/or log 2: log20

Sum

log20
= log (2² x 5)
= log 2² + log 5
= 2 log 2 + log 5.

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Expansion of Expressions with the Help of Laws of Logarithm

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Chapter 7: Logarithms - Exercise 10.2

Chapter 7 Logarithms
Exercise 10.2 | Q 2.1

If log 2 = 0.3010 and log 3 = 0.4771 ; find the value of : log 12

If log₁₀ 8 = 0.90; find the value of : log√32

If log (a + 1) = log (4a - 3) - log 3; find a.

Given: log₃ m = x and log₃ n = y.
If 2 log₃ A = 5x - 3y; find A in terms of m and n.

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`2"log" (16)/(25) - 3 "log" (8)/(5) + "log" 90`

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`2"log" 7 + 3 "log" 5 - "log"(49)/(8)`

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If log 2 = 0.3010, log 3 = 0.4771 and log 5 = 0.6990, find the values of: log45