Express the Following in Terms of Log 5 And/Or Log 2: Log125 - Mathematics

Express the following in terms of log 5 and/or log 2: log125

बेरीज

log125
= log 5³
= 3 log 5.

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Expansion of Expressions with the Help of Laws of Logarithm

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पाठ 10: Logarithms - Exercise 10.2

पाठ 10 Logarithms
Exercise 10.2 | Q 2.3

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

Simplify : log (a)³÷ log a

Express the following in terms of log 2 and log 3: `"log" root(4)(648)`

Write the logarithmic equation for:

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

Express the following as a single logarithm:

`3"log"(5)/(8) + 2"log"(8)/(15) - (1)/(2)"log"(25)/(81) + 3`

Simplify the following:

`2 "log" 5 +"log" 8 - (1)/(2) "log" 4`

Simplify the following:

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

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

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: log45