Logarithmic Functions

Rewrite log₂8 = 3 in exponential form.

• 2⁸ = 3
• 2³ = 8
• 3² = 8
• 8³ = 2

Tags

CCSS.HSF.BF.B.5

Rewrite 3⁴ = 81 in logarithmic form.

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

Tags

CCSS.HSF.BF.B.5

log₅25 = ?

• 2
• 5
• 125
• 10

Evaluate:
log₄16

• 2
• 4
• 1/2
• -2

Solve for x.
3^x = 27

• 2
• 4
• 3
• 5

Tags

CCSS.6.EE.B.7

Write log_b(xy) as two logs

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

Write log_b(x/y) as two logs

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

Rewrite log_b(xⁿ)

• nlog_bx
• (log_bx)ⁿ
• xⁿlog_bx
• log_b(xⁿ)

Which graph best represents the following logarithmic function?
 $y=\log_4x$  

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7E

Evaluate:  $9^x=8$  

• 134217728

• 43046721

• 0.946

• 1.057

Tags

CCSS.HSF.LE.A.4