Suppose that you have $14,000 to invest. Which investment yields the greater return over 10 years: 7% compounded monthly or 6.85% compounded continuously? Second Problem: find the domain of each logarithmic function. F(x)=log(3-X) Third Problem: Solve each exponential equation by expressing each side as a power of the same base and then equating exponents. 9^x = 1 over 27 2. Originally Posted by kbryant05 Second Problem: find the domain of each logarithmic function. F(x)=log(3-X) Third Problem: Solve each exponential equation by expressing each side as a power of the same base and then equating exponents. 9^x = 1 over 27 Forgive me for not doing the first problem (interest problems make me angry). 2)The logarithm$\displaystyle y=\log x$its domain is,$\displaystyle x>0$thus in the problem$\displaystyle y=\log (3-x)$thus,$\displaystyle 3-x>0$thus,$\displaystyle x<3$3)$\displaystyle 9^x=\frac{1}{27}$Note,$\displaystyle 9=3^2,27=3^3$thus,$\displaystyle (3^2)^x=\frac{1}{3^3}$use exponents rule,$\displaystyle 3^{2x}=3^{-3}$Thus,$\displaystyle 2x=-3$Thus,$\displaystyle x=-1.5\$