11. Complete each of the following short answer questions. a) Express the exponential expression " as an equivalent radical expression. b) Express the exponential expression " as an equivalent expression with a positive exponent. c) Convert log.b-e into an equivalent exponential equation.

Solve the following exponential equation. Express the solution in terms of natural logarithms or common logarithms. Then, use a calculator to obtain a decimal approximation for the solution. 77x+5 = 2X-6 (...) The solution set expressed in terms of logarithms is (Use a comma to separate answers as needed. Simplify your answer. Use integers or fractions for any numbers in the expression. Use In for natural logarithm and log for common logarithm.) Now use a calculator to obtain a decimal approximation for the solution. The solution set is {} (Use a comma to separate answers as needed. Round to two decimal places needed.)

O Use the change of base formula to approximate log, 73 by using e. Round off to 4 decimal places.

Solve the following exponential equation. Express the solution set in terms of natural logarithms or common logarithms. Then, use a calculator to obtain a decimal approximation for the solution. 5* = 29 The solution set expressed in terms of logarithms is { }. (Use a comma to separate answers as needed. Simplify your answer. Use integers or fractions for any numbers in the expression. Use In for natural logarithm and log for common logarithm.) Now use a calculator to obtain a decimal approximation for the solution. The solution set is { } (Use a comma to separate answers as needed. Round to two decimal places as needed.)

3. Use the Change of Base Formula. What is the value of each expression? a. logg 32 b. log, 18

3. Simplify the following exponential expressions so that there are only positive exponents. 28a b a. -3 10x b. 8a b 15x

8) Change each exponential statement to an equivalent statement involving a logarithm. a. 53 = 125 b. ac = b c. eh = d