Simplify the following log expressions without using a calculator: a. 2(32) b. 6(36) c. 1/2(1/8) d. () e. (1) 2. Solve the following equations. Write the exact answer as well as the decimal approximation. a. 40.15() = 12

f. Take log base 2 of 32 then add 1. Write an equation for the previous sentence. Approximate or find the exact answer

g. Add 1 to 32 and then find log base 2 of it. Write an equation for the previous sentence. Approximate or find the exact answer.

h. Find the equation that calculates the amount of money in an account that had an initial investment of $1000 and had a 24% annual interest rate compounded monthly.

How much is there after 1 year if we compound monthly?

What would change if compounded yearly?

How much is in the account after 1 year?

How much is there after 1 year if we compound monthly?

How much is there after 1 year if we compound daily?

How much is in the account after 1 year when we compound continuously?

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g. Add 1 to 32 and then find log base 2 of it. Write an equation for the previous sentence. Approximate or find the exact answer.