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Mathematics

Solve for x :
2 log x + 1 = log 250

Logarithms

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Answer

Given,

⇒ 2 log x + 1 = log 250

⇒ log x² + log 10 = log 250

⇒ log (10 × x²) = log 250

⇒ (10 × x²) = 250

⇒ x² = $\dfrac{250}{10}$

⇒ x² = 25

⇒ x = $\sqrt{25}$

⇒ x = ±5.

x cannot be equal to -5 as the argument of a logarithm cannot be negative.

Hence, the value of x = 5.

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