6.8 Natural Logarithms Practice

The natural logarithm has what base?

• 10
• 0
• e
• -e

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

• "e"
• Natural Logarithm (LN)
• Common Logarithm (Log)
• Natural Log, base "e"
  LN_e

Solve for x:
5 e^6x+3 = 0.1

• -1.152
• 0.232
• -3.077
• -0.854

Simplify e^ln(x)

• 0
• 1
• x
• 8

Rewrite in exponential form:
ln(2) = x

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

Solve the following equation.  Round your solution to two decimal places.
4 - 3 ln(2x + 10) = 12

• x = 2.20
• x = 1.68
• x = -5.00
• x = -4.97

Which of the following is the value of x given;
7e^(3x-5) = 49

• x = 2.315
• x = 0.681
• x = 2.964
• No Solution

What is the value of ln(e⁷)

• 2.718...
• 1
• 7
• Does not exist

Evaluate.
log₃81

• 4
• ¹/₄
• -4
• -¹/₄

Write the equation in logarithmic form.
 $e^{\left(x-9\right)}=74$  

•  $\ln\left(x-9\right)=74$  

•  $x-9=\ln74$