If log 3 x - log 3 2 - 1 = 0; the value of x is : 1. 3 2. -3 3. -6 4. 6

Given, ⇒ log 3 x - log 3 2 - 1 = 0 ⇒ log 3 x = log 3 2 + 1 ⇒ log 3 x = log 3 2 + log 3 3 ⇒ log 3 x = log 3 (2 × 3) ⇒ log 3 x = log 3 6 ⇒ x = 6. Hence, Option 4 is the correct option.

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Mathematics

If log₃ x - log₃ 2 - 1 = 0; the value of x is :
3
-3
-6
6

Logarithms

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Answer

Given,

⇒ log₃ x - log₃ 2 - 1 = 0

⇒ log₃ x = log₃ 2 + 1

⇒ log₃ x = log₃ 2 + log₃ 3

⇒ log₃ x = log₃ (2 × 3)

⇒ log₃ x = log₃ 6

⇒ x = 6.

Hence, Option 4 is the correct option.

Answered By

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If log₃ x - log₃ 2 - 1 = 0; the value of x is :
3
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Logarithms

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