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Algebra Level 2

How many solutions does the equation 1 0 n − 7 m = 3 10^n - 7^m = 3 have, given that n n and m m are integers?

17 infinitely many 0 1

Laima Lukoševičiūtė by Laima Lukoševičiūtė , 24, Lithuania

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1 solution

The only solution 1 0 1 − 7 1 = 3 10^1 - 7^1 = 3

0 Helpful 0 Interesting 0 Brilliant 0 Confused

You should say that m and n are integers. (Otherwise there are infinitely many solutions)

Natalia Dcruz - 3 years, 3 months ago

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Thanks. I see that this problem has been edited. Those who previously answered "infinitely many" has been marked correct.

In the future, if you have concerns about a problem's wording/clarity/etc., you can report the problem. See how here .

Brilliant Mathematics Staff - 3 years, 3 months ago

Why is this the only solution?

Sahil P. - 3 years, 3 months ago

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