Logarithm Review

Logarithmic functions are the inverse of...

• Linear Functions
• Exponential Functions 
• Quadratic Functions 
• Polynomial Functions 

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Rewrite log₂8 = 3 in exponential form.

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Rewrite 3⁴ = 81 in logarithmic form.

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

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

log₅25 = ?

Evaluate log_b(b)

• -1
• 0
• 1
• b

Tags

CCSS.HSF.BF.B.5

Condense:

log₂(6) + log₂(3)

• log₂18

• log₂2 = 1

• log₂3

• log₂9

Write as a single log (condense):

log 12 + 2 log x

• log (12 + 2x)

• log (14x)

• log (12 * 2x)

• log (12x²)

Expand:

log₃(9x²)

• 3 + 2log₃(x)

• log₃(9) + 2log₃(x)

• 2 + 2log₃(x)

• log(9) + 2log(x)

Expand:

 $\log_6\left(\frac{5x^3}{y}\right)$  

•  $\log_6\left(5x^3\right)-\log_6\left(y\right)$  
  

•  $\log_6\left(5\right)+\log_6\left(x^3\right)-\log_6\left(y\right)$  
  

•  $\log_6\left(5\right)+3\log_6\left(x\right)-\log_6\left(y\right)$  

Solve for x in the exponential equation.

 $7^x=12$ 


Round your answer to the nearest hundreth.