Expanding Logs Practice

Expand: log(4x)

• log4-logx

• log4+logx

• 4logx

• xlog4

Expand: $\log\left(\frac{x}{y}\right)$  

• logx+logy

• xlogy

• log(x-y)

• logx-logy

Expand: log(xy²)

• logx+2logy

• logx+logy²

• logx-2logy

• logx+logy+log2

Expand:  $\log\left(\frac{m^3}{n}\right)$  

• logm-log3-logn

• 3logm+logn

• 3logm-logn

• 3log(m-n)

Expand: ln(4xy)

• ln4+lnx+lny

• 4lnxy

• 4lnx+lny

• 4ln(x+y)

Expand: log(3x)²

• 2log(3+x)

• 2log3+logx

• log3+2logx

• 2(log3+logx)

Expand:  $\log_9\sqrt{23}$  

•  $\frac{1}{2}\log_923$  

•  $\log_9\left(\frac{1}{2}\right)-\log_923$  

•  $\log_9\sqrt{2}+\log_9\sqrt{3}$  

•  $\log_9\ \left(\frac{1}{2}\right)+\log_923$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

Expand:   $\ln\left(\frac{2x^2y}{z^4}\right)$  

• ln2+2lnx+lny+4lnz

• ln2+2lnx+lny-4lnz

• 2ln(2xy)-4lnz

• 2ln2x+lny-4lnz

Expand:  $\log_2\left(\frac{x}{3y}\right)$  

•  $\log_2\left(x\right)\ +\ \log_2\left(3\right)\ +\ \log_2\left(y\right)$ 

•  $3\log_2\left(x\right)\ +\ \log_2\left(y\right)$ 

•  $\log_2\left(x\right)\ -\ 3\log_2\left(y\right)$ 

•  $\log_2\left(x\right)\ -\ \log_2\left(3\right)\ -\ \log_2\left(y\right)$ 

Expand:   $\log\left(\frac{8x}{yz}\right)\$  

• log8+logx-logy-logz

• log8+logx-logy+logz

• log(8x)-log(yz)

• 8logx-ylogz