Review 7.1 - 7.4

To solve for x in the problem below, which equation would you use?

 $36=6^{\left(x+1\right)}$  

• $36=x+1$
  

• $36=6^x+6$

• $x+1=2$
  

• $36=6x+6$
  

Which is an asymptote for the graph of

y = log₄ (x) + 1?

• $x=-1$

• $y=1$

• $x=\ 0$

• $y\ =\ 4$

Tags

CCSS.HSF-IF.C.7E

• A

• B

• C

• D

Tags

CCSS.HSF-IF.C.7E

To solve the equation below, it is important you ________ $3^3=3^{\left(4x+2\right)}$  

• have the same exponents before setting the bases equal to each other.

• have the same bases before setting the exponents equal to each other.

• find the value of  $3^3$  first.

• distribute the across the parantheses for  $3^{\left(4x+2\right)}$  

Find the domain and range of the function shown.

y = log₅x

• D = {x | x > 0}, R = {all real numbers}

• D = {all real numbers}, R = {y | y < 0}

• D = {all real numbers}, R = {y | y > 0}

• D = {x | x > 0}, R = {y | y > 0}

Tags

CCSS.HSF.BF.B.5

• A

• B

• C

• D

Tags

CCSS.HSF-IF.C.7E

What is the value of x in the equation $\left(\frac{1}{9}\right)^{\left(3x-4\right)}\ =\ 27^{\left(2x+1\right)}?$  

•  $-1$  

•  $\frac{5}{12}$  

•  $\frac{-5}{12}$  

•  $5$  

What is the value of x in the equation $8^{\left(12-4x\right)}=4^{\left(x+18\right)}?$  

•  $-5\frac{1}{7}$  

•  $-4$  

•  $0$  

•  $1\frac{1}{5}$  

What is the solution set of this equation

log₃ (x² – 16) = log₃ (6x) ?

• $\left\{-2,8\right\}$

• $\left\{-2\right\}$

• $\left\{8\right\}$

• $\left\{\phi\right\}$