1.Express the equation 81^3/4 = 27 in logarithmic form.

2.Find x if log₃ 27 = 2x.

3.If e^x = 15, find x.

4.If a fund grows according to the equation f(t) = 1,000(1.10)^t, where t is the time period, how many time periods will it take for the function f(t) to double.(Hint: At time period 0, f(0) = 1,000.Set f(t) = 2,000, and solve for t.)

5.If b^x = 8 and b^x-1 = 4, find x and b.