If log 10 2 = a and log 10 3 = b; express log 2.25 in terms of 'a' and 'b'.

Given, log 10 2 = a and log 10 3 = b Simplifying the expression : ⇒ log 2.25 ⇒ log ⇒ log ⇒ log 9 - log 4 ⇒ log 3 2 - log 2 2 ⇒ 2 log 3 - 2 log 2 ⇒ 2b - 2a. Hence, log 2.25 = 2b - 2a.

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Mathematics

If log₁₀ 2 = a and log₁₀ 3 = b; express log 2.25 in terms of 'a' and 'b'.

Logarithms

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Answer

Given,

log₁₀2 = a and log₁₀3 = b

Simplifying the expression :

⇒ log 2.25

⇒ log $\dfrac{225}{100}$

⇒ log $\dfrac{9}{4}$

⇒ log 9 - log 4

⇒ log 3² - log 2²

⇒ 2 log 3 - 2 log 2

⇒ 2b - 2a.

Hence, log 2.25 = 2b - 2a.

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Mathematics

If log₁₀ 2 = a and log₁₀ 3 = b; express log 2.25 in terms of 'a' and 'b'.

Logarithms

Answer

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Mathematics

If log10 2 = a and log10 3 = b; express log 2.25 in terms of 'a' and 'b'.

Logarithms

Answer

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