8.6 Practice - Natural Logarithms

A natural logarithm has a base of what?

• e

• 10

• any base

• 6

What properties would you use to write the following as a single logarithm. Select all that apply.
 $3\ln5$  

• Power Property

• Product Property

• Quotient Property

What properties would you use to write the following as a single logarithm. Select all that apply.
 $\ln24-\ln6$  

• Power Property

• Product Property

• Quotient Property

What properties would you use to write the following as a single logarithm. Select all that apply.
 $2\ln8-3\ln4$  

• Power Property

• Product Property

• Quotient Property

Solve. Round your answer to the nearest thousandth.
 $\ln x=-2$  

(a)  

Solve. Round your answer to the nearest thousandth.
 $\ln\left(2x+3\right)=8$  

(a)  

Tags

CCSS.HSF.BF.B.5

Solve. Round your answer to the nearest thousandth.
 $e^{\left(x+1\right)}=30$  

(a)  

Tags

CCSS.HSF.LE.A.4

Solve. Round your answer to the nearest thousandth.
 $e^{\frac{x}{9}}-8=6$  

(a)  

An initial deposit of $200 is now worth $331.07. The account earns 8.4% interest, compounded continuously. Determine how long the money has been in the account.

• 6 years

• 20 years

• .06 years

• 1 year

A savings account earns 5.8% annual interest, compounded continuously. How many years will it take for a savings account to double an investment of $750?

• 12 years

• 126 years

• 1 year

• 5 years