Solving logs and exponentials

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

CCSS.HSF.LE.A.4

Solve for x:
4^2x + 1 = 17

• x = 1
• x = -1
• x = 2
• x = -2

Tags

CCSS.HSF.BF.B.5

log (x) + log (x) = log (25)

• -5, 5
• 5
• -5
• 25

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

CCSS.HSF.LE.A.4

log₂(x + 2) + log₂x  = 3

• -4, 2
• -2, 4
• 2 ;  -4 is extraneous
• 1 ;  -3 is extraneous

4^(x-2)= 64^(x+1)

• -2/5
• -5/2
• 7/2
• 2/7

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81
• log₈₁3 = 4
• log₃81 = 4
• log₄81 = 3

Solve for x: 
9^2x-4 = 27^x-1

• 4
• 1
• -1
• 5

log₂32=3x

• 5/3

• 3/5

• 5

• 3

Tags

CCSS.HSF.BF.B.5

log₈₁x = 3/4

• 2

• 3

• 27

• 81

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

State the domain of  $\frac{\ln\left(x-3\right)}{x-6}$  

• (3,  $\infty$  )

• (3,6)U(3, $\infty$  )

• [3,6)U(6, $\infty$  )

• (- $\infty$  ,3)