Exponentials and Logarithms

10) Which investment is better? What is ending value?

• monthly @ 5.25% , $5737.01

• monthly @ 5.25% , $6497.16

• semiannually @ 5.5% , $6558.26

• semiannually @ 5.5% , $6497.16

13)  Write  $\frac{1}{2}=\log_{49}7$   in exponential form.

•  $49^{\frac{1}{2}}=7$  

•  $7^2=49$  

•  $\frac{1}{2}\log_7=49$  

•  $\frac{1}{2}\log_{49}=7$  

17) Write $b^4=625$  in logarithmic form.

•  $\ln\ 625\ =\ 4$  

•  $\log_b4=625$  

•  $\log_4625=b$  

•  $\log_b625=4$  

 21) Evaluate without a calculator:  $\log_3\left(-9\right)$  

•  $-\frac{1}{2}$  

•  $-2$  

• undefined

•  $\frac{1}{2}$  

29) Evaluate without a calculator $\log_3\left(\log_88\right)$  

• 1

• 0

• undefined

• 3

32) Find the matching function

• $f\left(x\right)=\log\ x$

• $g\left(x\right)=\log\left(-x\right)$

• $h\left(x\right)=\log\left(2-x\right)$

• $r\left(x\right)=1+\log\left(2-x\right)$

33) Find the matching function

• $f\left(x\right)=\log\ x$

• $g\left(x\right)=\log\left(-x\right)$

• $h\left(x\right)=\log\left(2-x\right)$

• $r\left(x\right)=1+\log\left(2-x\right)$

43) Find the domain of the function:  $f\left(x\right)=\ln\left(x-1\right)^2$  

•  $\left(-\infty,\ 1\right)$  

•  $\left(-\infty,\ 1\right)\ \cup\ \left(1,\ \infty\right)$  

•  $\left(1,\ \infty\right)$  

•  $\left(-\infty,\ 2\right)\ \cup\ \left(2,\ \infty\right)$  

46) Simplify:   $10^{\log4x^2}$  

•  $2\log4x$  

•  $16x$  

•  $8x$  

•  $4x^2$  

51) Expand $\log_4\left(\frac{\sqrt{x}}{64}\right)$  

•  $\frac{1}{4}\log_2x-6$  

•  $2\log_4x-3$  

•  $\frac{1}{2}\log_4x-3$  

•  $\log_4x^2-3$