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A: See the attachment
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- So far I put 12/100 and started to break it down to ln3/25 ---> ln3 - ln 25 but I'm not sure if ln25 turns into 1.6 + 1.6 or 1.6 x 1.6.Express the following in terms of x without logs or natural logs 1) log100x 2) 1000logx 3) log0.001x 4) ln e2x 5) eln (3x+2) 6) ln (1/e5x) 7) ln √exsolve for y: ln(3-y)-ln(y) = 2x + ln(5) without a calculator
- Show that √(10x + 1) and √(x + 1) grow at the same rate asx→ ∞ by showing that they both grow at the same rate as √x asx→ ∞.4. The population of Lalaland is 600,000 currently and is expected to grow (continuously) at 3.5% per year. Determine what the population will be in 4 decades (i.e. 40 years)?Element X is a radioactive isotope such that every 70 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 610 grams, how much of the element would remain after 17 years, to the nearest whole number?