Log Transformations and Properties

log (2 * 3) = ?

• log 2 + log 3

• log 2 * log 3

• log 2 - log 3

• log 5

log (3²) =?

• log 6

• 2 log 3

• log₂ 3

• log₃ 2

Tags

CCSS.HSF.BF.B.5

log (a / b) = ?

• log a - log b

• log a / log b

• log_a b

• log_b a

Write log_b(xy) as two logs

• log_bx+log_by
• log_bx-log_by
• log_bx*log_by
• log_bx/log_by

ln(4xy)

• ln4+lnx+lny

• 4lnxy

• 4lnx+lny

• 4ln(x+y)

 $\log\left(\frac{9}{4}\right)$  

• log9+log4

• log(9-4)

• log9-log4

• 4log9

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2

Tags

CCSS.HSF.BF.B.5

log(xy²)

• logx+2logy

• logx+logy²

• logx-2logy

• logx+logy+log2

 $\log\left(\frac{m^3}{n}\right)$  

• logm-log3-logn

• 3logm+logn

• 3logm-logn

• 3log(m-n)

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

• ln2+2lnx+lny+4lnz

• ln2+2lnx+lny-4lnz

• 2ln(2xy)-4lnz

• 2ln2x+lny-4lnz