Express the Following in Terms of Log 2 and Log 3: Log 144 - Mathematics

Express the following in terms of log 2 and log 3: log 144

बेरीज

log 144
= log (2⁴ x 3²)
= log 2⁴ + log3²
= 4 log 2 + 2 log 3.

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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 1.3

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

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

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

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Express the following as a single logarithm:

`(1)/(2)"log"25 - 2"log"3 + "log"36`

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

Find the value of:

`("log"sqrt(8))/(8)`