Given that (log10)y + (2log)10 x = 2, express y in terms of x.

Given, log 10 y + 2log 10 x = 2 ⇒ log 10 y + log 10 x 2 = 2 ⇒ log 10 yx 2 = 2log 10 10 ⇒ log 10 yx 2 = log 10 10 2 ⇒ log 10 yx 2 = log 10 100 ⇒ yx 2 = 100 ⇒ y = Hence, y = .

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Mathematics

Given that log₁₀y + 2log₁₀x = 2, express y in terms of x.

Logarithms

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Answer

Given,

log₁₀y + 2log₁₀x = 2

⇒ log₁₀y + log₁₀x² = 2

⇒ log₁₀yx² = 2log₁₀10

⇒ log₁₀yx² = log₁₀10²

⇒ log₁₀yx² = log₁₀100

⇒ yx² = 100

⇒ y = $\dfrac{100}{x^2}.$

Hence, y = $\dfrac{100}{x^2}$ .

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Mathematics

Given that log₁₀y + 2log₁₀x = 2, express y in terms of x.

Logarithms

Answer

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Mathematics

Given that log10y + 2log10x = 2, express y in terms of x.

Logarithms

Answer

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