Exponential and Log

How are exponential and log functions related?

• They are linear functions

• They are parent functions

• They are transformations

• They are inverses

Rewrite log_pt = m in exponential form.

• p^t = m
• t^m = p
• m^t = p
• p^m = t

Tags

CCSS.HSF.BF.B.5

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=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 = ?

use the change of base formula

• 2

• 5

• 125

• 10

Evaluate log₅ 20 to the third decimal place

use the change of base formula

• 0.537

• 2.996

• 1.301

• 1.861

Expand

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

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

Expand completely: log(2x⁵) 

• log 2 + 5log x
• 5log 2 + 5log x
• 5log 2 + log x
• log 10 + log x

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Does this function show growth or decay? 

• Growth
• Decay
• Both
• Neither

Does this exponential function model growth or decay? 
y = (4/3)^x

• Growth
• Decay
• Both 
• Neither

Tags

CCSS.HSF-IF.C.8B