Exponentials and Logarithms

Match the graph to the function: $y=-\frac{1}{4}\cdot2^x+2$  

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Tags

CCSS.HSF.LE.A.2

Match the graph to the function:  $y=\frac{1}{4}\cdot2^x+2$  

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CCSS.HSF-IF.C.7E

Solve for a:  $5^{-3a}=125$  

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• -10

•  $\frac{3}{2}$  

• -1

Solve for x:  $25^{-x}=\left(\frac{1}{125}\right)^{3-3x}$  

• 5

• 1

• -1

•  $\frac{9}{11}$  

Solve for k:  $4^{3k}=4^{-3k-1}$  

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• 1

•  $-\frac{1}{6}$  

• 3

Solve for p:  $6^{2p}=216$  

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• -6

•  $\frac{5}{3}$  

•  $\frac{3}{2}$  

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CCSS.HSF.LE.A.4

Rewrite the equation in exponential form:  $\log_7\left(\frac{1}{49}\right)=-2$  

•  $\left(-2\right)^7=\frac{1}{49}$  

•  $7^{-2}=\frac{1}{49}$  

•  $7^{\frac{1}{49}}=-2$  

•  $\left(\frac{1}{49}\right)^7=-2$  

Tags

CCSS.HSF.BF.B.5

Rewrite the equation in exponential form:  $\log_{32}2=\frac{1}{5}$  

•  $32^{\frac{1}{5}}=2$  

•  $32^2=\frac{1}{5}$  

•  $2^{32}=\frac{1}{5}$  

•  $\left(\frac{1}{5}\right)^{32}=2$  

Tags

CCSS.HSF.BF.B.5

Rewrite the equation in exponential form: $\log_{81}9=\frac{1}{2}$  

•  $81^{\frac{1}{2}}=9$  

•  $\left(\frac{1}{2}\right)^{81}=9$  

•  $9^{81}=\frac{1}{2}$  

•  $81^9=\frac{1}{2}$  

Tags

CCSS.HSF.BF.B.5

Rewrite the equation in exponential form: $\log_{16}\frac{1}{256}=-2$  

•  $16^{\frac{1}{256}}=-2$  

•  $\left(\frac{1}{256}\right)^{16}=-2$  

•  $16^{-2}=\frac{1}{256}$  

•  $\left(-2\right)^{16}=\frac{1}{256}$  

Tags

CCSS.HSF.BF.B.5