Question

Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x. log2x^2

Answer 1

㏒(2x²) = ㏒(2) + 2㏒(x)

Explanation:

As given, ㏒(2x²)

As we know that ㏒(MN) = ㏒(M) + ㏒(N)

⇒㏒(2x²) = ㏒(2) + ㏒(x²)

As we know that ㏒(xⁿ) = n㏒(x)

⇒㏒(2x²) = ㏒(2) + 2㏒(x)

∴ we get

㏒(2x²) = ㏒(2) + 2㏒(x)