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[Feature Request] Implement Solve for a^(b/x) == c #947

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tranleduy2000 opened this issue Mar 15, 2024 · 4 comments
Open

[Feature Request] Implement Solve for a^(b/x) == c #947

tranleduy2000 opened this issue Mar 15, 2024 · 4 comments

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@tranleduy2000
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The current implementation of Solve is able to solve the following equation:

Solve(a^(b/x) == c, x)
{{ x -> b * Log[a] / Log[c] }}

But after replacing a, b, and c with integers, the Solve function got stuck forever:

Solve(2^(1250000/x) == 500, x)
image
@tranleduy2000 tranleduy2000 changed the title Implement Solve for a^(b/x) == c [Feature Request] Implement Solve for a^(b/x) == c Mar 15, 2024
@axkr
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axkr commented Mar 15, 2024

The big exponent seems to be the problem?

Solve(2^(100/x) == 500, x) gives a resuclt

image

@tranleduy2000
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OK I will check.

@tranleduy2000
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Thanks for the quick fix.

@tranleduy2000
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The Solve is able to solve the equation:

Solve(13000*50/534803==(1+6/125/360)^(360*m),m)
image

But after moving the constant 50/534803 to the right side of equation, it does not work:

Solve(13000==534803/50*(1+6/125/360)^(360*m),m)
image

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