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1. (a) (10 pts) Let x = 1086 1296 State the corresponding exponential form of this logarithmic equation. (b) (10 pts) Determine the numerical value of 1086 1296 1 in simplest form. 2. (10 pts) Use an appropriate change of base formula to approximate log; 36 to the nearest hundredth. 3. (10 pts) Expand log 102 and simplify as much as possible. Assume all quantities represent positive real numbers. 4. (10 pts) Use the properties of logarithms to write the expression as a single logarithm and, if possible, simplify. (1/3) log4 (x) - log4 (v) - 2 log4 (=) 5. (10 pts) Solve: 25* = 125 6. (10 pts)_Solve: log (25x2 -25) - log(x - 1) = 2 7. (10 pts)_If $5,000 is invested in an account which offers 3%, compounded monthly, find the amount in the account after 20 years. Show some work. 8. (10 pts) Convert the angle 2250 from degree measure into radian measure. Show some work. (b) (10 pts) Convert the angle -from radian measure into degree measure. Show some work