Solving Equation

[calumbtw]

Hi,

I have two equations, which I am not sure how to solve. If anyone could help, I would be most grateful.

Thank You.

1. Solve 2lnx = lnx, x = 0

2. Solve a(b^4x-3) = b^2x a

 

[Deleted member 4993]

Hi,

I have two equations, which I am not sure how to solve. If anyone could help, I would be most grateful.

Thank You.

1. Solve 2lnx = lnx, x = 0 → ln(x²) = ln(x) .... continue

2. Solve a(b^4x-3) = b^2x a Is this problem a(b^4x-3) = b^2x * a or something else??

.

 

[lookagain]

Hi,

I have two equations, which I am not sure how to solve. If anyone could help, I would be most grateful.

Thank You.

1. Solve 2lnx = lnx, x = 0 \(\displaystyle \ \ \ \ \) This is not one equation. The part "x = 0" is not correct. Maybe it was meant to be "x > 0."



2. Solve a(b^4x-3) = b^2x a \(\displaystyle \ \ \ \ \) As was already being asked about, you have at least one error/typo here.

.

 

[calumbtw]

Thanks for the help with the first equation. I used log and solved it.

Solve a(b^4x-3) = b^2x a [FONT=MathJax_Main] [FONT=MathJax_Main] [/FONT][FONT=MathJax_Main] [/FONT][FONT=MathJax_Main] [/FONT] As was already being asked about, you have at least one error/typo here.
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This is

 

[JeffM]

Thanks for the help with the first equation. I used log and solved it.

Solve a(b^4x-3) = b^2x a As was already being asked about, you have at least one error/typo here.

This is

There are three easy concepts involved in solving this equation.

First, is there a unique solution if a = 0?

If a does not equal zero, you can simplify and get what?

Second, is there a unique solution if |b| = 1 or b = 0?

Third, and this is obvious once someone points it out, \(\displaystyle |u| \ne 1\ and\ u \ne 0\ and\ u^v = u^w \implies v = w.\)