Solving multi-step problems using non-linear equations in one variable

Mathematical Equivalence

ON

Solve: $\log_9x+\log_9\left(x+2\right)=\log_935$  

• 5

• -7

• 5, -7

• -7, -13

Solve the equation for x:

 $\log\left(x+4\right)+\log\left(x\right)=\log\left(45\right)$  

• 5 only

• 5 and -9

• 9 only

• -5 and 9

• 15

• -2 and 2

• 0

• no solution

• x = 5 and x = -2

• x = -2

• x = 5

• x = -10 and x = 10

log(5x+5)=3

• -2/5

• 24

• 120

• 199

 What kind of solving problem is this? $2\log\left(4\right)+\log\left(w\right)=\log\left(60\right)$ 

• Problem type A or B

• Problem type B

• Problem type C

• Problem type D

Solve log₂ (2 - 2x) + log₂ (1 - x) = log₂ (2⁵)

• 4

• 5

• -2

• -3

log ₅ (10x − 7) + log ₅ 3 = -1

• x = -1/10

• x = 53/75

• x = 21/50

• x = -5

 $\ln\left(-2x\right)+\ln\left(4\right)=5$  

Solve the equation for the missing variable. Be sure to check for extraneous solutions.

• n = -12.34

• n = -18.55

• n = -4.65

• n = 5.23