find x
pls ans this ques
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this the answer
I hope it is useful.....
I hope it is useful.....
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Answered by
1
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
thanks and please mark me as brainest
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