3.6 Logs

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

Condense: log16 + log2 - log8

• log4
• log8
• log10
• log24

Logarithmic functions are the inverse of...

• Linear Functions
• Exponential Functions 
• Quadratic Functions 
• Polynomial Functions 

Solve for n:
2³ⁿ = 4

• 2
• 3
• 2/3
• 4

Tags

CCSS.HSF.LE.A.4

Solve the following for 'x';
log₆(3x - 2) = log₆(5x - 8)

• x = 3
• x = 2
• x = -1
• No Solution

Evaluate log₄1

• 1
• 0
• 4
• undefined

e^ln(f)

• f
• e
• e^f
• undefined

Tags

CCSS.HSF.BF.B.5

Use multiple log properties to write as a single log:
log₂x -  5log₂y

• log₂(x/y⁵)
• log₂(xy⁵)
• log₂(x/y)⁵
• log₂(x/5y)