M3 Expanding Logarithmic expressions

• log(x) + log(z) + 4log(y)

• 3log(x) − log(z) − 4log(y)

• 3log(x) + log(z) + 4log(y)

• log(x) − 4log(z) − 3log(y)

Expand: log₈6x³y

• log₈6 + log₈x - 3log₈y

• 3log₈6 - log₈x + log₈y

• log₈6 + 3log₈x - log₈y

• log₈6 + 3log₈x + log₈y

Expand

• A
• B
• C
• D

 Choose the correct expanded common logarithm:

 $\log(4x)$ 

•  $\log4-\log x$  

•  $\log4+\log x$  

•  $4\log x$  

•  $x\log4$  

Choose the correct expanded common logarithm:

 $\log(xy^2)$  

•  $\log x+2\log y$  

•  $\log x+\log y^2$  

•  $\log x-2\log y$  

•  $\log x+\log y+\log2$  

Choose the correct expanded common logarithm:

 $\log\left(\frac{m^3}{n}\right)$  

•  $\log m-\log3-\log n$  

•  $3\log m+\log n$  

•  $3\log m-\log n$  

•  $3\log(m-n)$  

Choose the correct expanded natural logarithm:

 $\ln(x^7)$  

•  $\ln(7x)$  

•  $\ln7+\ln x$  

•  $x\ln7$  

•  $7\ln x$  

Choose the correct expanded natural logarithm:

 $\ln\left(\frac{8x}{yz}\right)\$  

•  $\ln8+\ln x-\ln y-\ln z$  

•  $\ln8+\ln x-\ln y+\ln z$  

•  $\ln(8x)-\ln(yz)$  

•  $8\ln x-y\ln z$  

Choose the correct expanded natural logarithm:

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

•  $\ln2+2\ln x+\ln y+4\ln z$  

•  $\ln2+2\ln x+\ln y-4\ln z$  

•  $2\ln(2xy)-4\ln z$  

•  $2\ln2x+\ln y-4\ln z$  

Expand: log₂x⁶

• xlog₂6

• log₂x - log₂6

• log₂x + log₂6

• 6log₂x