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

Question

KnowledgeBoat · Accepted Answer

Given, log₁₀y + 2log₁₀x = 2 ⇒ log₁₀y + log₁₀x² = 2 ⇒ log₁₀yx² = 2log₁₀10 ⇒ log₁₀yx² = log₁₀10² ⇒ log₁₀yx² = log₁₀100 ⇒ yx² = 100 ⇒ y = Hence, y = .

Mathematics

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

Logarithms

Related Questions

If log V + log 3 = log π + log 4 + 3log r, find V in terms of other quantities.

Given 3(log 5 - log 3) - (log 5 - 2log 6) = 2 - log n, find n.

Express log₁₀2 + 1 in the form of log₁₀x.