91Ó°ÊÓ

If you put \(\$ 3,200\) in a savings account that earns \(2.5 \%\) interest per year compounded quarterly, how much would you expect to have in that account in 3 years?

Solve the logarithmic equations. Round your answers to three decimal places. $$\log (2 x+5)=2$$

Refer to the following: In calculus, we find the derivative, \(f^{\prime}(x),\) of a function \(f(x)\) by allowing \(h\) to approach 0 in the difference quotient \(\frac{f(x+h)-f(x)}{h}\) of functions involving exponential functions. Find the difference quotient of the exponential decay model \(f(x)=P e^{-k x},\) where \(P\) and \(k\) are positive constants.

Solve the logarithmic equations. Round your answers to three decimal places. $$\ln (4 x-7)=3$$

If you put \(\$ 10,000\) in a savings account that earns \(3.5 \%\) interest per year compounded annually, how much would you expect to have in that account in 5 years?

State the domain of the logarithmic function in interval notation. $$f(x)=\log _{3}(5-x)$$

Evaluate the logarithms using the change-of-base formula. Round to four decimal places. $$\log \sqrt{2} 9$$

How much money should you put in a savings account now that earns \(5 \%\) a year compounded daily if you want to have \(\$ 32,000\) in 18 years?

State the domain of the logarithmic function in interval notation. $$f(x)=\ln (7-2 x)$$

Solve the logarithmic equations. Round your answers to three decimal places. $$\ln \left(x^{2}+1\right)=4$$