Logarithms

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81
• log₈₁3 = 4
• log₃81 = 4
• log₄81 = 3

Tags

CCSS.HSF.BF.B.5

Tags

CCSS.HSF.BF.B.5

The common logarithm has what base?

• 10
• 0
• e
• -e

Write as a single log: log 12 + 2 log x

• log (12 + 2x)

• log (14x)

• log (24x)

• log (12x²)

Rewrite  $\log_bx^n$  

•  $n\log_bx$  

•  $x^n\log b$  
  

•  $x^n\log_bx$  
  

•  $x\log_bn$  
  

Simplify the expression
log(30)-log(6)

• -6log(30)
• log(24)
• log(-24)
• log(5)

Use the change of base formula to evaluate. Round to 3 decimal places.

log₇8=

Tags

CCSS.HSF.BF.B.5

ln(-.56)=

• undefined
• -.580
• .580
• -4.025

Tags

CCSS.HSF.BF.B.5

log_AB=

• $\log A+\log B$
  

• $\log\left(\frac{B}{A}\right)$
  

• $\frac{\log B}{\log A}$

• $\frac{\log A}{\log B}$