Find x if

2^x-7 × 5^x-4 = 1250

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Solution

2^x-7 × 5^x-4 = 1250

Now we know 1250=2×5×5×5
=2¹×5⁴

So ,
2^x-7 × 5^x-4 =2¹×5⁴

Equate the powers of 2 on both sides,
x-7=1
Or,. x=8

Or you can equate the power of 5
x-4=4
Or. x=8

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