SOLUTION: please help. Solve the following mathematically a. 3=4ln(x-2)= 11 b. log(13x-1)- log(x+2) + 1 c. solve the quadratic equation; 3x^2 - 4x-2=0 d. solve by factoring 2x^2+x-6=0

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Question 455548: please help.
Solve the following mathematically
a. 3=4ln(x-2)= 11
b. log(13x-1)- log(x+2) + 1
c. solve the quadratic equation;
3x^2 - 4x-2=0
d. solve by factoring 2x^2+x-6=0
Thanks
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Solve the following mathematically
a. 3=4ln(x-2)= 11
Too many equal signs
---------------
b. log(13x-1)- log(x+2) + 1
No equal sign, not an equation
-----------------
c. solve the quadratic equation;
3x^2 - 4x-2=0
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=40 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 1.72075922005613, -0.387425886722793. Here's your graph:



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d. solve by factoring 2x^2 + x - 6 = 0
(2x - 3)*(x + 2) = 0
x = -2, 3/2
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