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Differentiate w.r.t. G_3
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\frac{\left(2-3G_{3}\right)\log_{10}\left(5\right)}{k}
Express \frac{2-3G_{3}}{k}\log_{10}\left(5\right) as a single fraction.
\frac{2\log_{10}\left(5\right)-3G_{3}\log_{10}\left(5\right)}{k}
Use the distributive property to multiply 2-3G_{3} by \log_{10}\left(5\right).