REGULAR TEST - 10.4-10.5 COMMON & NAT LOGS

Solve for x

• 1.893

• 2.807

• 3.169

• 2.971

Solve for x in the logarithmic equation. (HNT: change into exponential)

 $\log_3(4x-3)=2$  

Tags

CCSS.HSF.BF.B.5

Use the properties of logarithms to find the exact value of each expression.

 $e^{\ln5}=$  

What is the solution of $3e^{2x}+1=5$  ?

•  $x\approx0.131$  

•  $x\approx0.187$  

•  $x\approx0.151$  

•  $x=0.144$  

Solve for x in the exponential equation.

 $7-e^{12x}=5$  

Round your answer to the nearest hundreth.

Solve for x.
e^x+6 + 5 = 1

• -4.614
• -4.236
• No Solution
• -0.334

Solve for x. 

 $3^{\left(n-7\right)}-3=24$  

• 3

• 8

• 10

• No solution

Solve for x

 $\ln\left(x+3\right)\le4$  

•  $x\le51.5982$  
  

•  $-3<x\le51.5982$  
  

• none

What is the next step to solve?
 $3\ln\left(x\right)=12$  

• Subtract 3 from both sides

• Divide by 3 on both sides

• Solve:  $3x=e^{12}$  

• Solve:  $12x=e^3$  

Tags

CCSS.HSF.BF.B.5

An amount of $2,000 is deposited into a bank paying an annual interest rate of 2.85% compounded continuously. How long will it take for the money to double?

• 21.22 years

• 24.32 years

• 20.12 years

• 24.67 years