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Provide solution for RD Sharma maths Class 12 Chapter 21 Differential Equations Exercise Case Study Based Question (CSBQ) Question 2 Subquestion (iii) textbook solution.

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Answer: option(a) t=20 \log _{\mathrm{e}} 2

Hint: Just put values in obtained equation.

Given r= 5%,

Solution: If P_{0}=100 \text { then } P=2\; P_{2}=200

Put all the values in ,

\begin{aligned} &\log \left(\frac{P}{P_{0}}\right)=\frac{r t}{100} \\ &\log \left(\frac{200}{100}\right)=\frac{5 \times t}{100} \\ &\log 2=\frac{t}{20} \end{aligned}

\therefore t=20 \log _{\mathrm{e}} 2

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