Answer :
Final answer:
To find the total number of years it would take for 109 to equal 218 times 0.9810 raised to the power of x, we can set up an equation and solve for x using logarithms.
Explanation:
To find the total number of years it would take for 109 to equal 218 times 0.9810 raised to the power of x, we can set up an equation. Let's call the total years 't' and the unknown exponent 'x'. The equation would be 109 = 218 * 0.9810^x. To solve for x, we can divide both sides by 218 to get 0.5 = 0.9810^x. To solve for x, we can take the logarithm of both sides using the base of 0.9810. This gives us log0.9810(0.5) = x. Finally, we can divide this value of x by the natural logarithm of 0.9810 to find the total number of years t.
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