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equation does not simplify due to fractional exponent

asked 2020-07-17 15:41:55 -0600

EconJohn gravatar image

The following equation does not seem to simplify due to the fact there is a fractional power in one of the variables im seeking to solve for. The code I have is:

k=var('k')
solve(k == 50*k^(3/5),k)

Out: [k == 50*k^(3/5)]

is there anyway to fix this?

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answered 2020-07-17 16:12:31 -0600

Emmanuel Charpentier gravatar image

As usual with those equation involving exponentials :

sage: solve(k == 50*k^(3/5),k, to_poly_solve=True)
[k == 0, k == 12500*sqrt(2)]
sage: solve(k == 50*k^(3/5),k, algorithm="sympy")
[k == 0, k == 12500*sqrt(2)]
sage: (k==50*k^(3/5)).log().log_expand().solve(k)
[k == 12500*sqrt(2)]

HTH,

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Asked: 2020-07-17 15:41:55 -0600

Seen: 64 times

Last updated: Jul 17