SOLUTION: Step-by-step solution of {{{ log(7, (3x-1)) + log(7, (2x+3)) = 2 }}} Note: Online math tools show that this doesn't have a solution. Would anyone be so kind of elaborating on th

Question 1087461: Step-by-step solution of
Note: Online math tools show that this doesn't have a solution. Would anyone be so kind of elaborating on this?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!

-------

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=1297 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 2.41782385089485, -3.58449051756152. Here's your graph:

================
x = negative result --> = log of a negative number
-----
x =~ 2.41 is a valid result

RELATED QUESTIONS
Use algebraic procedures to find the exact solution(s) of the equation.... (answered by stanbon,jim_thompson5910)

i need a step-by-step solution to the problem: log[2](16^3x)=3x-1 (solving for x).... (answered by Alan3354)

Step-by-step solution of: {{{ 2^(3x+1)=5^(2x-7)... (answered by Alan3354)

Find ((f(x))-f(a))/(x-a) Let f(x)=2x^2+3x-7 Please show step by step solution. Thanks (answered by josgarithmetic)

Find the solution set of the system by graphing the equations by hand. y=2x+3 y=-3x-7 (answered by ewatrrr,MathLover1)

Show every step. This is a proof! If {{{log(b,x) = (1/2)log(b,v) + (3)}}} , show that... (answered by MathLover1)

I would like step by step solution on solving this problem. 3(2x-2)=24-3x. thank... (answered by MathLover1)

7. What is the first step in solving this logarithmic equation: log 3 + log (x + 1) =... (answered by jhunjiro)

2[4 � 2(3 � x)] � 1 = 4[2(4x � 3) + 7] � 25 I need help solving this. I have to once... (answered by stanbon)