My textbook jumps from:
$$\frac{1}{2}\ln |2x+7| + K$$
to:
$$ = \ln|2x+7|^{1/2}+\ln k = \ln k\sqrt{|2x+7|}$$
Why does the constant change from $K$ to $\ln k$?
2026-04-24 16:35:58.1777048558
Why $\frac{1}{2}\ln |2x+7| + K = \ln|2x+7|^{1/2}+\ln k$
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Since the codomain of $\ln$ function is $\Bbb R$ then for $K\in\Bbb R$ there is $k>0$ such that $K=\ln k$.