Mrs. Zhang's Solving Exponential Equations & Logs

Sovle for x:
5^{-3x - 1} = 25

• x = -1
• x = -4
• x = -3
• x = 1

Solve 3³ = 3^{4x + 2}

• ¼
• -¼
• ½
• -½

Rewrite the following equation in exponential form:
 $\log_636=2$  

•  $36^2=6$  

•  $2^6=36$  

•  $6^2=36$  

•  $2^{36}=6$  

Tags

CCSS.HSF.BF.B.5

Rewrite the equation in exponential form:
 $\log_vu=4$  

•  $v^4=u$  

•  $4^v=u$  

•  $v^u=4$  

•  $u^4=v$  

Tags

CCSS.HSF.BF.B.5

Rewrite the equation in logarithmic form:
 $64^{\frac{1}{2}}=8$  

•  $\log_{64}8=\frac{1}{2}$  

•  $\log_864=\frac{1}{2}$  

•  $\log_{64}\ \frac{1}{2}=8$  

•  $\log_8\ \frac{1}{2}=64$  

Tags

CCSS.HSF.BF.B.5

Use the change of base rule to rewrite this problem:

log₃64

• log(64)/log(3)

• log(3)/log(64)

Use the change of base rule to rewrite this problem:

log₈64

• log(8)/log(64)

• log(64)/log(8)

log ₃ 9 =

• 1/2

• 2

• 1/3

• 3

log 1000 =

• 1/10

• 10

• 1/3

• 3

log _a a =

• 10

• 0

• 1

• -1