Q. 177 F5.0( 3 Votes )

# Find x.5x+ 5x–1 = 750

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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