Math, asked by duttaanamika319, 19 days ago

Find x if (25^x) (16^x+10)=6400

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Answered by XxLUCYxX

0

$( {25}^{x}) \: ( {16}^{x} + 10) \: = \: 6400 \\ \\ 25x \times 16x + 25x \times 100 = 6400 \\ \\$

$400x + 2500x = 6400 \\ \\ 2900x = 6400 \\ \\ x = \frac{64 \cancel0 \cancel0}{29 \cancel0 \cancel0} \\ \\ x = 2.206$

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