@e52fa787
e52fa787
commented
I don't think this equation can be solved using standard methods. There doesn't seem to be a closed form for this expression (involving normal functions like rational, trigonometric, exponential or logarithmic functions etc). The answer is approximately #x~~1.786#, and the closed form would require functions like the [Lambert W Function](https://en.wikipedia.org/wiki/Lambert_W_function), a definite integral or an infinite series.
on
How do you solve #(7x - 12) = 2log_10x#?
@e52fa787
e52fa787
commented
I don't think there is a nice answer to this since the integral you need to evaluate does not have a closed form (cannot be solved in terms of trig, exponential, rational, logarithmic functions etc). The best answer would either be an infinite series or a decimal approximation (the answer is â‰ˆ8.246). Would you still like me to put up a solution getting to the integral at least (but not how to solve or approximate the integral)?
on
What is the arclength of #(t^2/sqrt(t^3+2),4t-1)# on #t in [-1,1]#?