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- 1. Multiple ChoiceThe natural logarithm has what base?100e-e
- 2. Multiple ChoiceExpand ln xy
^{2}z^{3}6(lnx + lny - lnz)lnx + 2lny - 3lnzlnx + (1/2)lny + (1/3)lnzlnx + 2lny + 3lnz - 3. Multiple ChoiceSolve the following equation for x. Round your solution to two decimal places.

ln2x - ln41 = 2x = 0.36x = 151.48x = 41None of these are solutions - 4. Multiple ChoiceLog with a base "e" (log
_{e}) is the same thing as..."e"Natural Logarithm (LN)Common Logarithm (Log)Natural Log, base "e"

LN_{e} - 5. Multiple ChoiceSolve the following equation for x. Round your solution to two decimal places.

ln3x + ln2x = 3x = 12.91x = 4.02x = 3.35x = 1.83 - 6. Multiple ChoiceSolve for x:

5 e^{6x+3 }= 0.1-1.1520.232-3.077-0.854 - 7. Multiple ChoiceSimplify e
^{ln(x)}01x8 - 8. Multiple ChoiceRewrite in exponential form:

ln(2) = x2^{x }= 1010^{2}= xe^{x }= 2e^{2}= x - 9. Multiple ChoiceWhich of the following is the value of x given;

e^(x + 6) = 12x = ln 6x = -6 + ln12x = ln72x = ln(-2) - 10. Multiple ChoiceSolve the following equation. Round your solution to two decimal places.

4 - 3 ln(2x + 10) = 12x = 2.20x = 1.68x = -5.00x = -4.97 - 11. Multiple ChoiceWhich of the following is the value of x given;

7e^{(3x-5)}= 49x = 2.315x = 0.681x = 2.964No Solution - 12. Multiple ChoiceSolve the following equation. Round your solution to two decimal places.

4 - 3 ln(2x + 10) = 12x = 2.20x = 1.68x = -5.00x = -4.97 - Answer choicesTagsAnswer choicesTags