Y1 4-4 Exponential/Log Relationships

Rewrite in exponential form:

log₃(9)=2.

• 3⁹=2

• 3²=9

• x²=9

• 3^x=2

Tags

CCSS.HSF.BF.B.5

Rewrite in logarithmic form:

6² = 36

• log₆ 2 = 36

• log₆ 36 = 2

• ln 36 = 2

• 6³⁶ = 2

Tags

CCSS.HSF.BF.B.5

Rewrite in logarithmic form:

5³ = 125

• log ₅ 125 = 3

• log ₃ 125 = 5

• log ₅ 3 =125

• log₁₂₅ 3 = 5

Tags

CCSS.HSF.BF.B.5

Rewrite in exponential form:

log₂ 0.25 = -2

• -2² = 0.25

• -2^0.25 = 2

• 2^-2 = 0.25

• No correct answer

Tags

CCSS.HSF.BF.B.5

Rewrite in logarithmic form:

3⁴ = 81

• log₃4 = 81

• log₈₁3 = 4

• log₃81 = 4

• log₄81 = 3

Tags

CCSS.HSF.BF.B.5

Rewrite in exponential form:

log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

Tags

CCSS.HSF.BF.B.5

Rewrite in log form:  $6^3=216$  

•  $\log_3216=6$  

•  $\log_{216}6=3$  

•  $\log_63=216$  

•  $\log_6216=3$  

Tags

CCSS.HSF.BF.B.5

Rewrite in log form:  $2^5=32$  

•  $\log_232=5$  

•  $\log_25=32$  

•  $\log_532=2$  

•  $\log_{32}5=2$  

Tags

CCSS.HSF.BF.B.5

Rewrite in log form:  $8^{-3}=\frac{1}{512}$  

•  $\log_8\left(-3\right)=\frac{1}{512}$  

•  $\log_8\ \frac{1}{512}=-3$  

•  $\log_{-3}8=\frac{1}{512}$  

•  $\log_{\frac{1}{512}}8=-3$  

Tags

CCSS.HSF.BF.B.5

Rewrite in log form:  $17^0=1$  

•  $\log_{17}0=1$  

•  $\log_{17}1=0$  

•  $\log_117=0$  

•  $\log_01=17$  

Tags

CCSS.HSF.BF.B.5