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$5^{x} + 8 . 5^{x} + 16 . 5^{x} = 1$ হলে x এর মান কত?

-1

-2

- \frac{1}{2}

ANSWER : 3

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দেয়া আছে,&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mn>5</mn><mi>x</mi></msup><mo>&nbsp;+&nbsp;</mo><mn>8</mn><mo>×</mo><msup><mn>5</mn><mi>x</mi></msup><mo>&nbsp;+&nbsp;</mo><mn>16</mn><mo>×</mo><msup><mn>5</mn><mi>x</mi></msup><mo>&nbsp;=&nbsp;</mo><mn>1</mn></math> <math xmlns="http://www.w3.org/1998/Math/MathML"><mo>⇒</mo><mo>&nbsp;</mo><msup><mn>5</mn><mi>x</mi></msup><mo>(</mo><mn>1</mn><mo>&nbsp;+&nbsp;</mo><mn>8</mn><mo>&nbsp;+&nbsp;</mo><mn>16</mn><mo>)</mo><mo>&nbsp;=&nbsp;</mo><mn>1</mn></math> <math xmlns="http://www.w3.org/1998/Math/MathML"><mo>⇒</mo><mo>&nbsp;</mo><msup><mn>5</mn><mi>x</mi></msup><mo>×</mo><mn>25</mn><mo>&nbsp;=&nbsp;</mo><mn>1</mn></math> <math xmlns="http://www.w3.org/1998/Math/MathML"><mo>⇒</mo><mo>&nbsp;</mo><msup><mn>5</mn><mi>x</mi></msup><mo>&nbsp;=&nbsp;</mo><mfrac><mn>1</mn><mn>25</mn></mfrac><mo>&nbsp;=&nbsp;</mo><mfrac><mn>1</mn><msup><mn>5</mn><mn>2</mn></msup></mfrac><mo>&nbsp;=&nbsp;</mo><msup><mn>5</mn><mrow><mo>&nbsp;-&nbsp;</mo><mn>2</mn></mrow></msup></math> <math xmlns="http://www.w3.org/1998/Math/MathML"><mo>.</mo><mo>:</mo><mo>.</mo><mo>&nbsp;</mo><mi>x</mi><mo>&nbsp;=&nbsp;</mo><mo>-&nbsp;</mo><mn>2</mn></math>

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