Express the Following in Terms of Log 5 And/Or Log 2: Log80

Express the following in terms of log 5 and/or log 2: log80

Sum

log80
= log (2⁴ x 5)
= log 2⁴ + log 5
= 4 log 2 + log 5.

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Expansion of Expressions with the Help of Laws of Logarithm

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Chapter 10: Logarithms - Exercise 10.2

Chapter 10 Logarithms
Exercise 10.2 | Q 2.2

Given 2 log₁₀ x + 1 = log₁₀ 250, find :
(i) x
(ii) log₁₀ 2x

If log 2 = 0.3010 and log 3 = 0.4771; find the value of : log 15

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

Express the following in terms of log 2 and log 3: `"log" root(3)(144)`

Write the logarithmic equation for:

F = `"G"("m"_1"m"_2)/"d"^2`

Write the logarithmic equation for:

E = `(1)/(2)"m v"^2`

Express the following as a single logarithm:

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

If log 16 = a, log 9 = b and log 5 = c, evaluate the following in terms of a, b, c: `"log"2(1)/(4)`

If 2 log x + 1 = 40, find: log 5x

If log 2 = 0.3010, log 3 = 0.4771 and log 5 = 0.6990, find the values of: `"log" sqrt(72)`