Express the Following in Terms of Log 5 And/Or Log 2: Log500

Express the following in terms of log 5 and/or log 2: log500

Sum

log500
= log (2² x 5³)
= log 2²+ log 5³
= 2 log 2 + 3 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 2.5

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

If log 27 = 1.431, find the value of : log 300

Prove that:

log₁₀ 125 = 3(1 - log₁₀2).

Write the logarithmic equation for:

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

Write the logarithmic equation for:

V = `(1)/("D"l) sqrt("T"/(pi"r")`

Express the following as a single logarithm:

`2"log"(9)/(5) - 3"log"(3)/(5) + "log"(16)/(20)`

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

If 2 log y - log x - 3 = 0, express x in terms of y.

If log 2 = x and log 3 = y, find the value of each of the following on terms of x and y: log60

If log 27 = 1.431, find the value of the following: log300