# algebra

2. The level of thorium in a sample decreases by a factor of one-half every 2 million years. A meteorite is discovered to have only 8.6% of its original thorium remaining. How old is the meteorite in millions of years?

2) You need to show how you use the function to solve the problem by showing the following steps:

o What number did you substitute for what term or variable in the function you found above?

o What property did you use to write the exponential equation to a linear equation? (See the properties listed below)

o What property did you use to solve the linear equation and to find the final answer? (See the properties listed below)

(3) You need to state your answer in million years in sentence form.

You many need to use the following properties when you do part (2) to find the age of meteorite in million years:

· a = b^x is equivalent to x = log_b(a)

· log_b(a)= log(a) / log(b)

· If x = y, then log_b(x) = log_b(y)

· x log_b(a) = log_b(a^x)

· log_b(b) = 1

Because of formatting issues, I am using "log_b" to denote "log base b". (In the corresponding announcement, the "b" would appear as a subscript after the "log".)
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posted by PsyDAG

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