Unit 10 Day 3: Natural Logs

Rewrite in exponential form:
ln(2) = x

• 2^x = 10
• 10² = x
• e^x = 2
• e² = x

Tags

CCSS.HSF.BF.B.5

Simplify

ln3x + ln2x = 3

• lnx=3

• ln6x=3

• ln5x=3

• ln6x^2=3

Log with a base "e" (log_e) is the same thing as...

• "e"

• Natural Logarithm (ln)

• Common Logarithm (log)

Tags

CCSS.HSF.BF.B.5

Expand: 

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

• ln2+2lnx+lny+4lnz

• ln2+2lnx+lny-4lnz

• 2ln(2xy)-4lnz

• 2ln2x+lny-4lnz

• ln(wvu⁵)
• ln(u + v + w⁵)
• ln(uvw⁵)
• ln(uvw)⁵

Logarithmic functions are the inverse of...

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

Expand:

ln(4xy)

• ln4+lnx+lny

• 4lnxy

• 4lnx+lny

• 4ln(x+y)

Solve:

2 ln e⁵ = x

• x=5

• x=7

• x=10

• x=1.397

Tags

CCSS.HSF.BF.B.5

The common logarithm has what base?

• 10
• 0
• e
• -e

The natural logarithm has what base?

• 10

• 0

• e

• -e

Tags

CCSS.HSF.BF.B.5