Practice with Logarithms

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2

Write the exponential equation as a logarithm
6³=216

• log₆(3) = 216
• log₃(6) = 216
• log₆(216)=3
• log₂₁₆(6)=3

Rewrite in exponential form: 
2=log₉x

• 9^x=2
• 2^x=9
• 2⁹=x
• 9²=x

Evaluate log₄1

• 1
• 0
• 4
• undefined

Evaluate  log₂ 8

• 4
• 3
• 16
• 64

Evaluate:
log₃(1/9)

• 2
• 1/2
• -2
• -1/2

Solve:  log₅ x=2

• 25
• 10
• 2^x
• 5/2

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.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Expand

• 6log₈v-2log₈u
• 6log₈u-2log₈v
• 3log₈u-2log₈v
• 6log₈u+2log₈v

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Expand

• log₈x+log₈y+log₈z
• 5log₈x+5log₈y+5log₈z
• log₈xy+5log₈z
• log₈x+log₈y+5log₈z

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5