Solving Log Equations by Condensing

Write log_b(x/y) as two logs

• log_bx-log_by
• log_bx+log_by
• log_bx*log_by
• log_bx/log_by

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

Use multiple log properties to write as a sum or difference of two logs: log(4x³) 

• log 4 + 3log x
• 3log 4 + 3log x
• 3log 4 + log x
• log 12 + log x

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

Use multiple log properties to write as a single log:
log₂x -  5log₂y

• log₂(x/y⁵)
• log₂(xy⁵)
• log₂(x/y)⁵
• log₂(x/5y)

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Solve for x:  log₆x + log₆(x-5) = 2

• √7
• 9
• 4
• none of these

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

 $\log8-\log2+2\log w$  

•  $\log\frac{4}{w^2}$  

•  $\log6w^2$  

•  $\log4w^2$  

•  $\log\frac{6}{w^2}$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

 $\log_4x^2=\log_43+\log_4\left(x+6\right)$  

Which quadratic equation would you wind up solving when solving the log equation?

•  $x^2-3x-18=0$  

•  $x^2+3x+6=0$  

•  $x^2-3x-6=0$  

•  $x^2-x-9=0$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

Solve:

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

• 7

• 4/9

• 9/4

• 1/7

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

Solve:

ln(x+8) - ln (8) = 3

• 152.68

• 188.77

• 4.24

• 8.01

Tags

CCSS.HSF.BF.B.5

Solve for x.
 $\log_3\left(x-4\right)-\log_3\left(x\right)=1$  

• -2

• 0

• 1

• No solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

Solve for x.
 $\log_8\left(x\right)+\log_8\left(x+2\right)=1$  

• 2, 13

• 2, -4

• 4

• 2

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4