Question

If log₄ 16 = 2, then log₁₆ 4=​

Answer 1

Answer:

Given,

log₄ 16 = 2

W know that,

logₓ a = n ⇔ a = xⁿ

∴ log₁₆ 4 = n

  Here,   x = 16

              a = 4

              n = ?

∴  4 =  16ⁿ

   4 = (4)²ⁿ

   2n = 1

    n = $\frac{1}{2}$

             Hope it helps you^_^