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jacksonpeeble

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Hello everyone! I have two precalculus problems that are from an assessment today that I had some great trouble with. I wrote the objectives below, followed by the problems themselves. Any help is greatly appreciated!

1. Solve exponential and logarithmic equations when possible. For those that cannot be solved analytically, use graphic methods to find approximate solutions.

2. Explain how the parameters of an exponential or logarithmic model relate to the data set or situation being modeled. Find an exponential or logarithmic function to model a given data set or situation. Solve problems involving exponential growth and decay.

1. Given log

2. The half-life of radium-226 is 1600 years. Suppose you have a 22mg sample. After how long will only 18mg of the sample remain?

These were the two that I was completely stumped on. I do recall that the formula for half-lives is m(t)=m

## Homework Statement

1. Solve exponential and logarithmic equations when possible. For those that cannot be solved analytically, use graphic methods to find approximate solutions.

2. Explain how the parameters of an exponential or logarithmic model relate to the data set or situation being modeled. Find an exponential or logarithmic function to model a given data set or situation. Solve problems involving exponential growth and decay.

## Homework Equations

1. Given log

_{b}x=2, log_{b}y=3, and log_{b}z=-2, find log_{b}((x^{2}*z)/y^{3})2. The half-life of radium-226 is 1600 years. Suppose you have a 22mg sample. After how long will only 18mg of the sample remain?

## The Attempt at a Solution

These were the two that I was completely stumped on. I do recall that the formula for half-lives is m(t)=m

_{0}e^{-n}where r=ln2/h.
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