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Solve the following exponential equation using logarithms: 75(1.08)" = 450

Solve the following exponential equation using logarithms: 75(1.08)" = 450

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please help me with these questions. I am having trouble understanding what to do. This not a test it's just a practice sheet. Show work an use logs

1.Solve the following exponential equation using logarithms: 75(1.08)" = 450 2. Mr. Power invests $10000 into his savings account that pays 14%/a compound monthly. How long will it take for the investment to grow to $70000. *Recall compound interest formula: A = P(1 + i)" [4 Marks] 3. The half-life of a certain substance is 3.6 days, How long will it take for 20g of the substance to decay to 7g? [Hint: N = c (1/2)t/h*] [4 Marks]
Transcribed Image Text:1.Solve the following exponential equation using logarithms: 75(1.08)" = 450 2. Mr. Power invests $10000 into his savings account that pays 14%/a compound monthly. How long will it take for the investment to grow to $70000. *Recall compound interest formula: A = P(1 + i)" [4 Marks] 3. The half-life of a certain substance is 3.6 days, How long will it take for 20g of the substance to decay to 7g? [Hint: N = c (1/2)t/h*] [4 Marks]
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