1) Write the expressions 36x and 2162x + 3 so that they have the same base

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1) Write the expressions 36x and 2162x + 3 so that they have the same base.

2. Solve the exponential equation 32x = 83x − 4 by changing the bases and then using algebra. Check your answer by graphing. Be sure to include a sketch of your graph.

3. Trinh has decided to save money to buy a new computer. She invests $800 in an account that earns 5% per year, compounded quarterly. Determine how long she needs to invest her money to have $1000 by using the equation 1000 = 800(1.0125)n, where n is measured in quarters of a year (three-month increments).