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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