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8.1) Using rules of logs show that if y= ab' then log y = log a + tlog b 8.2) Consider 91=10'. Using logs, find the value of t (to 3 decimal places). 8.3) Using an approximation method, if income doubles in 20 years find an estimate of the growth rate.

8.1) Using rules of logs show that if y= ab' then log y = log a + tlog b 8.2) Consider 91=10'. Using logs, find the value of t (to 3 decimal places). 8.3) Using an approximation method, if income doubles in 20 years find an estimate of the growth rate.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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8. 8.1) Using rules of logs show that if y = ab' then log y = log a + tlog b 8.2) Consider 91=10'. Using logs, find the value of t (to 3 decimal places). 8.3) Using an approximation method, if income doubles in 20 years find an estimate of the growth rate. 8.4) Now use your knowledge of compound interest and logs. If interest rates are 2.8%, find the number of years for an investment of £10m to double. (Round you answer to 1 decimal place.)
Transcribed Image Text:8. 8.1) Using rules of logs show that if y = ab' then log y = log a + tlog b 8.2) Consider 91=10'. Using logs, find the value of t (to 3 decimal places). 8.3) Using an approximation method, if income doubles in 20 years find an estimate of the growth rate. 8.4) Now use your knowledge of compound interest and logs. If interest rates are 2.8%, find the number of years for an investment of £10m to double. (Round you answer to 1 decimal place.)
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