SOLUTION: Using the definition of logarithm to solve logrithms equations, solve this: 2ln(8x)=8. What is the answer? Please help. And the other question is: 16 grams of carbon-14 present. Th

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Question 321219: Using the definition of logarithm to solve logrithms equations, solve this: 2ln(8x)=8. What is the answer? Please help. And the other question is: 16 grams of carbon-14 present. The decay model A=16e -0.000121 t decribes the amount of carbon -14 present after t years. How many grams of carbon-14 will be prestent in 9477 years? Please, I need this done by Sunday before midnight! Thanks!
Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
Using the definition of logarithm to solve logrithms equations,
solve this: 2ln(8x)=8.
Divide both sides by 2, results
ln(8x) = 4
Write it in exponent form of logs
e^4 = 8x
Find the value of e^4 on a calc:
54.598 = 8x
= x
x = 6.82475
:
Check solution on a calc: enter 2*ln(8*6.82475), results: 7.99999 ~ 8
:
;
16 grams of carbon-14 present.
The decay model A = 16*e^-0.000121t describes the amount of carbon-14 present after t years.
How many grams of carbon-14 will be present in 9477 years?
A = 16*e^(-0.000121*9477)
A = 16*e^-1.146717
Using a calculator, find e^-1.146717
A = 16*.317678
A = 5.084 grams after 9477 yrs