Describe a single transformation that transforms the graph of $y=\ln x$ to the graph of \(y=\ln x^

Question

Describe a single transformation that transforms the graph of $y=\ln x$ to the graph of $y=\ln x^2$, the graph of $y=\log_{(e^2)}x$, the graph of $y=\ln 2x$. In this last case give two different answers.

Accepted Answer

(a) Vertical stretch by factor $2$. (b) Vertical stretch by factor $\frac12$. (c) Translate by $\binom{0}{\ln2}$, or horizontally compress by factor $\frac12$.

Solution:

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