1.

5^12=125^n. FIND THE N​

Answer»

\bf{\underline{Question:-}}

  • 5¹² = 125ⁿ . find the VALUE of N

\bf{\underline{Solution:-}}

\sf → 5^{12} = 125^n

\sf → 5^{12} = (5^3)^n

\sf → 5^{12 }= 5^{3n}. { base are equal }

  • Comparing the exponent

\sf → 12 = 3n

\sf → 12/3 = n

\sf → <klux>4</klux> = n

\bf{\underline{Hence:-}}

  • The required value of n is 4


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