log equations

Write the equation in exponential form.

log₂(x - 4) = 6

• x - 4 = 6²

• 6₂ = x - 4

• 2^(x-4) = 6

• 2⁶ = x - 4

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

 $\log_3\left(n^2+4n\right)=\log_3\left(35+2n\right)$  

• 5

• 5, -7

• -3, 5

• -7

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

 $6\ +\ \log_2\ x\ =\ 6$  

• 9

•  $\frac{1}{10}$  

• 1

• 121

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

 $\log_4\ 7\ +\ \log_{4\ }\ \left(x\ -\ 2\right)\ =\ \log_4\ 62$  

•  $\frac{76}{7}$  

•  $-\frac{19}{6}$  

• 42

•  $\frac{10}{3}$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve for x

 $\log_3\left(x-4\right)+\ \log_33=\log_3\left(x+2\right)$  

• x = 5

• x = 7

• x = 9

• x = 3

Solve for x

 $\log_5\left(5x+2\right)\ -\ \log_53=\log_5\left(x+8\right)$  

• x = 13

• x = 3

• x = 11

• x = 9

 $\log_4\ 6\ +\ \log_4\ x\ =\ 2$  

•  $\frac{32}{5}$  

• 32

•  $\frac{8}{3}$  

• 8

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

 $\log_3\ x\ +\ \log_3\ 4\ =\ 4$  

•  $\frac{27}{2}$  

•  $\frac{3}{2}$  

•  $\frac{9}{7}$  

•  $\frac{81}{4}$  

Tags

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

 $\log_6\ \left(x\ +\ 8\right)\ +\ \log_{6\ }\left(x\ +\ 9\right)\ =\ 1$  

• -11, -17

• -6, -17

• -6

• -11

Tags

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

 $\log_7\ \left(x\ +\ 4\right)\ -\ \log_{7\ }x\ =\ \log_{7\ }33$  

•  $\frac{1}{8}$  

•  $-\frac{60}{7}$  

• No solution

•  $\frac{68}{7}$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4