Question

find x
pls ans this ques
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Answer 1

this the answer

I hope it is useful.....

Answer 2

Write 1250 into product of prime factors

1250= 5×5×5×5*2=5^4*2^1------(1)

Given

2^(x-7)*5^(x-4)=1250

2^x/2^7 * 5^x/5^4 =1250

Here we used

a^(m-n) = a^m/a^n

2^x * 5^x=5^4*2^1*5^4*2^7

From(1)

2^x * 5^x = 5^(4+4)*2^(1+7)

Here a^m * a^n = a ^(m+n)

(2*5)^x =(5*2)8

Here

a^m * b^m = (a*b)^m

(10)^x=(10)^8

Therefore

x=8

Since

If a^m = a^n then m=n

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