Solve for x x in this equation

Calculus Level 4

0 = 3 x + 5 x 9 x + 1 5 x 2 5 x \large 0= 3^x + 5^x - 9^x + 15^x - 25^x

Find the positive root of x x satisfying the equation above to three decimal places.


This equation was suggested by Akshat Sharada.


The answer is 0.475.

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