Properties of Logs

Expand: log_b(x/y)

• log_bx-log_by

• log_bx+log_by

• log_bx*log_by

• log_bx/log_by

Find the value of: e^ln(f)

• f

• e

• e^f

• undefined

Expand: log(3x)²

• 2log(3+x)

• 2log3+logx

• log3+2logx

• 2(log3+logx)

Evaluate log₄1

• 1
• 0
• 4
• undefined

Tags

CCSS.HSF.BF.B.5

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

• logm-log3-logn

• 3logm+logn

• 3logm-logn

• 3log(m-n)

Find the exact value of: log₄4^3x

• 3x

• 3

• 4

• 4^3x

• 2ln(xyz)
• ln(x) + ln(y) + ln(z)
• ln(x) - ln(y) - 2ln(z)
• ln(x) + ln(y) + 2ln(z)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

Find the exact value of: ln e⁵

• e⁵

• ln 5

• 5

• 5e

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

• ln2+2lnx+lny+4lnz

• ln2+2lnx+lny-4lnz

• 2ln(2xy)-4lnz

• 2ln2x+lny-4lnz

 $\log_3\left(\frac{27}{x^2}\right)$  

Expand and simplify:

•  $6\log_3x$  

•  $\log_327-\log_3x^2$  

•  $3\ +\ 2\log_3x$  

•  $3-2\log_3x$