If you know, them the same rule applies for the first part of the question.
Then, take root of 3/2 on both sides and you will find the value of x.
- Study Helper
Well, that's not going to work as you need |3x|<1.
So we look for a factor that we can take out, which is a) easy to compute the power of 3/2 of, and b) which gives us |3x|<1.
An example we could try might be 4, so we'd get [4(97/4)]^(3/2) which becomes 4^(3/2) (97/4)^(3/2), and equals 8 (97/4)^(3/2)
So you'd want 1-3x = 97/4
Nope, still won't work.
What other factor could you try that would make 1-3x a lot smaller?
Edit: These sorts of question are better in study help, mathematics forum - I've requested the mods to move it.