Ch 7 Natural Logs

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

• ln2+2lnx+lny+4lnz

• ln2+2lnx+lny-4lnz

• 2ln(2xy)-4lnz

• 2ln2x+lny-4lnz

Solve for x using natural logs.

e^4x=12

• 2.48

• 9.94

• 0.62

• 3

Tags

CCSS.HSF.LE.A.4

Solve for x using natural logs.

9(e^x) - 31 =23

• x = 1.79

• x = 4.21

• x = -3.5

• x = 1.27

Solve for x: ln (5x + 6) = 5

• 154.413

• 30.883

• 147.213

• 28.483

Rewrite e^x = 9 in natural log (ln) form

• ln x = 9

• ln 9 = x

• log_x e = 9

• log₉ x = e

Tags

CCSS.HSF.BF.B.5

Solve the following equation for x. Round your solution to two decimal places.

ln3x + ln2x = 3

• x = 12.91

• x = 4.02

• x = 3.35

• x = 1.83

Solve the following equation for x using natural logs.

e^(x+6) = 12

• x = ln 6

• x =ln12 - 6

• x = ln72

• x = ln(-2)

Rewrite in exponential form:
ln(2) = x

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

Tags

CCSS.HSF.BF.B.5

Solve for x: ln e⁵= x

• e⁵

• ln 5

• 5

• 5e

Tags

CCSS.HSF.BF.B.5