I have the equation 0.005*N^-0.12 + 0.565*N^-0.46 = 0.010 that I am trying to solve for N. I know the answer is ~9500 but I do not know how to solve it using SMath Studio. I tried "solve" but I get the "No real roots" error.

Wrote

I have the equation 0.005*N^-0.12 0.565*N^-0.46 = 0.010 that I am trying to solve for N. I know the answer is ~9500 but I do not know how to solve it using SMath Studio. I tried "solve" but I get the "No real roots" error.

As simple as that: plot first to check if there is intersection
between the two functions. You don't solve for a constant, you
solve for a constant defined as a function. Next, guesstimate
for bracketing the solve block ... done.

Cheers collab.

... your project from iterative Dichotomy

Solve Dichotomy.sm (9 KiB) downloaded 49 time(s).

Wrote

Wrote

I have the equation 0.005*N^-0.12 0.565*N^-0.46 = 0.010 that I am trying to solve for N. I know the answer is ~9500 but I do not know how to solve it using SMath Studio. I tried "solve" but I get the "No real roots" error.

As simple as that: plot first to check if there is intersection
between the two functions. You don't solve for a constant, you
solve for a constant defined as a function. Next, guesstimate
for bracketing the solve block ... done.

Cheers collab.

Works perfectly. Thanks!

Wrote

I tried "solve" but I get the "No real roots" error.

probably you have used solve(2) (function with 2 arguments) that is driven by the global parameters (tools > options > calculation > roots (range)) and is designed mainly for solutions on the fly.

use instead solve(4), giving an adequate range (f.e. by plotting the function, as mentioned above by Jean)