3.1 Test Review

Which expression is equivalent to  $\log_{a\ }\left(xy\right)$  

•  $\log_a\left(x\right)-\log_a\left(y\right)$  

•  $\log_a\left(x\right)+\log_a\left(y\right)$  

•  $a^{xy}=\log$  

•  $a^x=y$  

Which expression is equivalent to  $\log_w\left(\frac{e}{f}\right)$  

•  $w^{\frac{e}{f}}=\log$  

•  $w^e=f$  

•  $\log_w\left(e\right)-\log_w\left(f\right)$  

•  $\log_w\left(e\right)+\log_w\left(f\right)$  

Given the equation  $j\cdot h^r=k$  , solve for r.

•  $r=\log_h\left(j\cdot k\right)$  

•  $r=\log_h\left(k-j\right)$  

•  $r=j\log_h\left(k\right)$  

•  $r=\log_h\left(\frac{k}{j}\right)$  

Tags

CCSS.6.EE.C.9

Given the equation  $m+n^p=s$  , solve for p

•  $p=\log_n\left(m\cdot s\right)$  

•  $p=\log_b\left(\frac{s}{m}\right)$  

•  $p=\log_n\left(s-m\right)$  

•  $p=m\log_n\left(s\right)$  

Solve  $5^{2x}=3$  . (Round your answer to the nearest hundreadth).

•  $x=0.16$  

•  $x=0.34$  

•  $x=0.17$  

•  $x=0.33$  

Tags

CCSS.HSF.LE.A.4

Solve  $9^{4x}-2=1$  . (Round your answer to the nearest hundredth. 

•  $x=0.11$  

•  $x=0.13$  

•  $x=0.14$  

•  $x=0.12$  

Find the inverse of the function:  $y=\log\left(x-2\right)$  

•  $y=10^x+2$  

•  $y=10^x-2$  

•  $y=x+2$  

•  $y=2^x+10$  

Tags

CCSS.HSF-BF.B.4A

 $y=\log\left(8x+1\right)$  Find the inverse of the functions:

•  $y=\frac{8}{10^x+1}$  

•  $y=\frac{8^x-1}{10}$  

•  $y=\frac{10^x-1}{8}$  

•  $y=\frac{10}{8^x+1}$  

Tags

CCSS.HSF-BF.B.4A

Let $y=15\left(1.9\right)^t$  . Does this function represent a growth or decay and what is the rate of growth or decay?

• Growth;  $19\%$  

• Decay; $90\%$  

• Growth; $90\%$  

• Decay; $19\%$  

Tags

CCSS.HSF-IF.C.8B

Let $y=20\left(.3\right)^t$  . Does this function represent exponential growth or decay? What is the rate of growth or decay?

• Growth;  $70\%$  

• Decay;  $7\%$  

• Growth;  $7\%$  

• Decay;  $70\%$  

Tags

CCSS.HSF-IF.C.8B