Question

3.
Soive 5^2x- 5^x+3 + 125 = 5^x
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Answer 1

Answer:

Step-by-step explanation: 5^2x-x+3+125=5^x

5^x.2-5^x.5^3+125=5^x

Let 5^x be u

U^2-125u+125= u

U^2-126u+125=0

U^2-(125+1)u +125=0

U^2-125u-u+125=0

U(u-125)-1(u-125)=0

(U-1)(u-125)=0

Eith,u=1

Therefore,5^x=1

5^x=5^0

Therefore X=0

Or,u=125

5^x=125

5^x=5^3

Therefore,X=3(answer)