Question

5^12=125^n. FIND THE N​

Answer 1

$\bf{\underline{Question:-}}$

• 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

$\sf → 12 = 3n$

$\sf → 12/3 = n$

$\sf → 4 = n$

$\bf{\underline{Hence:-}}$

• The required value of n is 4