Hi guys, I tried a few times to solve this equation, but my result isn't right.
Can someone show me the steps reqired to solve it? Thanks in advance
>>305524
Show what you tried.
1. Rearrange to equal zero.
2. Take out a common factor in the numerator
3. Use the null factor theorem to address each part individually
4. get your 2 solutions
See image... also x = 1 is an answer. I forgot to write it because i was too busy drawing a whale
oops the image is sideways :P
Additionally, I made a graph of it here:
https://www.desmos.com/calculator/d76gj2l7cw
The link graphs the 2 sides of the equation, and the lines intersect at x = the base cubed
>>305890
You forgot the cube on the x in your first step. It might make things easier to substitute y = log x and then solve for y first.
(log x + 1)/(log x - 1) = 3(1 - log x)/(log x - 3)
becomes
(y + 1)/(y - 1) = 3(1 - y)/(y - 3)
taking note y can't be 1 or 3, you can multiply both sides by (y - 1)(y - 3) to clear out the denominators.
>>305726
this was my attempt