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Find x. 5x + 5x – 1 = 750

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प्रश्न

Find x.

5x + 5x – 1 = 750

योग
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उत्तर

We have, 5x + 5x – 1 = 750

⇒ `5^x + 5^x/5 = 750`  ...`[∵ a^-m = 1/a^m]`

⇒ `5^x (1 + 1/5) = 750`

⇒ `5^x (6/5) = 750`

⇒ `5^x = 750 xx 5/6`

⇒ 5x = 125 × 5

⇒ 5x = 625

⇒ 5x = 54

On comparing the power of 5, we get

x = 4

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अध्याय 8: Exponents and Powers - Exercise [पृष्ठ २७४]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 8
अध्याय 8 Exponents and Powers
Exercise | Q 177. (6) | पृष्ठ २७४

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