Solving Log Equations

Solving Log Equations

Multiple Choice

log₅(4x-7)=log₅(x+5)

• 3
• 12
• 4
• 7

Multiple Choice

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

• 5

• 5, -7

• -3, 5

• -7

Multiple Choice

 $\log\ \left(9-x\right)=\log\ \left(2x-6\right)$  

• 5

• -11

•  $\frac{18}{19}$  

• -4

Multiple Select

Determine the extraneous solution(s) for the equation:  $\log_4\left(x-6\right)+\log_4\left(x-12\right)=2$  
Select all that apply.

• 14

• 4

• 16

• 2

Multiple Choice

 $\log_3\ x\ +\ \log_3\ 4\ =\ 4$  

•  $\frac{27}{2}$  

•  $\frac{3}{2}$  

•  $\frac{9}{7}$  

•  $\frac{81}{4}$  

Multiple Choice

 $\log_4\ 6\ +\ \log_4\ x\ =\ 2$  

•  $\frac{32}{5}$  

• 32

•  $\frac{8}{3}$  

• 8

Multiple Choice

Determine the correct set-up for:

log₄(x-1) - log₄(x+7) = log₄6

• log₄(x-1)/(x+7)=log₄(6)

• log₄(x-1)(x+7)=log₄(6)

• log₄(x+7)/(x-1)=log₄(6)

• (x-1)(x+7)=6

Multiple Choice

Solve log₉ (x - 4) + log₉ (x + 1) = log₉ (x + 5) + log₉ (x - 6)

• 17/2

• -9/16

• 13

• -8

Multiple Choice

log₉(x)+log₉(x+2)=log₉(35)

• 5
• -7
• 5, -7
• -7, -13

Multiple Choice

Solve:

log (x - 1) - log (x - 2) = log 5

• 7

• 4/9

• 9/4

• 1/7