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Mathematics

If log5 (8x - 3) = 3, then x =

  1. 8

  2. 16

  3. 32

  4. 40

Logarithms

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Answer

Given,

⇒ log5 (8x - 3) = 3

⇒ (8x - 3) = 53

⇒ 8x - 3 = 125

⇒ 8x = 125 + 3

⇒ 8x = 128

⇒ x = 1288\dfrac{128}{8}

⇒ x = 16.

Hence, option 2 is the correct option.

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