Question

Log of 5x derive with respect to x

Answer 1

$\huge \star \: \: \: \bold{ \huge{\boxed{ANSWER}}}$

$\star \: \: {\blue {\underline{solution}}} \blue :$

• $\frac{d}{dx} log5x =x ln10$

$\star \: \: {\blue {\underline{explaine}}} \blue :$

• $\frac{d}{dg} log \: g \times \frac{d}{dx} 5x \: \: (let \: g = 5x)\\ = \frac{1}{ln(10) \: g} \times 5 \\ = \frac{1}{ln(10) \: 5x} \times 5 \\ = \boxed{ \frac{1}{x ln(10) } }$

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