Question

Find x if 2^x-7×5^x-4=1250

Answer 1

Hello Mate!

2^( x - 7 ) × 5^( x - 4 ) = 1250

1250 = 2 × 5 × 5 × 5 × 5

2^( x - 7 ) × 5^( x - 4 ) = 2^1 × 5^4

So, x - 7 = 1
x = 7 + 1 or x = 8

Or

x - 4 = 4
x = 4 + 4 or x = 8

Hence, value of x = 8

Hope it helps☺!✌

Answer 2

Answer:

Here is your answer

Step-by-step explanation:

2x-7 × 5x-4 = 1250

Now we know 1250=2×5×5×5

=2¹×5⁴

So ,

2x-7 × 5x-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

Pls Mark my answer as Brainliest!!!!