We know that $125 = 5^3$. Substitute this into the equation: $(5)^{x^2+2x+7} = (5^3)^{2x+1}$. Using the power of a power rule $(a^m)^n = a^{mn}$, we get $(5)^{x^2+2x+7} = 5^{3(2x+1)} = 5^{6x+3}$.
If (5)ˣ²+2x+7 = (125)²x+1 then the value of x is
Asked in BPSC Prelims Exam 65th · Topic: Measurement/Unit (Physical Quantities (Fundamental and Derived))
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