Question

1.Explain why it does not make sense to evaluate log( − 3 ) .

2.Why is log ⁡ 3 = 1/2 ⋅ log ⁡ 9?

3.In the WebAssign for this section homework you calculated the amount of money you would need to invest at 10% compounded continuously to have $500,000 in 20 years. Would the answer change if the money were invested at 20% compounded continuously for 10 years? Why or why not?

Answer 1

log (-) is undefined. Because the logerithm of negative value com not determine, or, but -320. let log (-3)=4 10 Y 2-3. Here 10 y yo Hence togl-3) is undefined. 2. Ź logo log 2 vog a logo Let the amount ist Principal 아 2 3 2 x 2 3 3. 10 Pe Too x20 500 000 P2 500000 ez 20 Again if interest rate is 20.). Then Amount a 500000 e² T0010 स xe Z 500000 Oxe2 ez z 500ooo The answer would not change.