Unit 2: rewriting Logs and exponentials

Rewrite the logarithmic equation. $\log_3y=4$  

•  $4^y=3$  

•  $4^3=y$  

•  $3^4=y$  

•  $y^4=3$  

Tags

CCSS.HSF.BF.B.5

Rewrite the logarithmic equation. $\log_xy=21$  

•  $y^{21}=x$  

•  $21^x=y$  

•  $x^{21}=y$  

•  $y^{21}=x$  

Tags

CCSS.HSF.BF.B.5

Rewrite the exponential equation.  $3^2=9$  

•  $\log_39=2$  

•  $\log_92=3$  

•  $\log_29=3$  

•  $\log_32=9$  

Tags

CCSS.HSF.BF.B.5

Rewrite the exponential equation.  $x^2=17$  

•  $\log_x17=2$  

•  $\log_x2=17$  

•  $\log_217=x$  

•  $\log_x2=17$  

Tags

CCSS.HSF.BF.B.5

 $2^5=32$  Rewrite the exponential equation.

•  $\log_532=2$  

•  $\log_232=5$  

•  $\log_25=32$  

•  $\log_{32}5=2$  

Tags

CCSS.HSF.BF.B.5

 $\log_3\left(\frac{1}{81}\right)=-4$  Rewrite the logarithmic equation.

•  $\frac{1}{81}=3^{-4}$  

•  $81=3^{\frac{1}{4}}$  

•  $4^3=\frac{1}{81}$  

•  $3^{\frac{1}{81}}=4$  

Tags

CCSS.HSF.BF.B.5

Find x: log_x(25) = 2

• x = 1

• x = 12.5

• No Solution

• x = 5

Tags

CCSS.HSF.BF.B.5

Find x: log₂(32) = x

• x = 5

• x = 16

• x = 4

• x = 6

Tags

CCSS.HSF.BF.B.5

Solve for x using the same base method.
3^x-20 = 27

• 17
• 27
• -7
• 23

To solve 8 = 2^5x+7, you would need to re-write 8 as what base?

• 8
• 4
• 2
• Cannot be determined