Q. 177 F5.0( 3 Votes )
Find x.
5x+ 5x–1 = 750
Answer :
Given: 5x+ 5x–1 = 750
We know that, when the bases of the terms are same and those terms are multiplied, then their exponents are added.
⇒ 5x + 5x ×5-1 = 750
By taking 5x from above equation, we get,
5x (1 + 5-1) = 750
As when the bases of the terms are same and those terms are divided, then their exponents are subtracted.
⇒ 5x – 1 = 53
As the bases are same so the exponents can be equated,
⇒ x – 1 = 3
⇒ x = 4
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