3.2 & 3.3 Log Expressions and Properties

log(4x)

• log4-logx

• log4+logx

• 4logx

• xlog4

log(xy²)

• logx+2logy

• logx+logy²

• logx-2logy

• logx+logy+log2

 $\log\left(\frac{x}{y}\right)$  

• logx+logy

• xlogy

• log(x-y)

• logx-logy

 $\log\left(\frac{m^3}{n}\right)$  

• logm-log3-logn

• 3logm+logn

• 3logm-logn

• 3log(m-n)

log(x⁷)

• log(7x)

• log7+logx

• xlog7

• 7logx

 $\log\left(\frac{9}{4}\right)$  

• log9+log4

• log(9-4)

• log9-log4

• 4log9

Rewrite log_x95 = 2.3

• x^2.3 = 95

• 95^2.3 = x

• 2.3⁹⁵ = x

• x⁹⁵ = 2.3

Tags

CCSS.HSF.BF.B.5

Rewrite 1.6^(x+2) = 14.1

• log_1.614.1 = x+2

• log_1.6(x+2) = 14.1

• log_14.1(x+2) = 1.6

• log_(x+2)1.6 = 14.1

Tags

CCSS.HSF.BF.B.5

Evaluate log₄1

• ¹/₄

• 0

• -1

• not possible

Expand:  $\log_bmn$  

•  $\log_bm\ -\ \log_bn$  

•  $\log_bm+\log_bn$  

•  $m\log_bn$  

•  $n\log_bm$