Question

find its value. please

Answer 1

Hey dear here is your answer!!!!!

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We would first be reading out the statement:-

Log of $\frac{1}{16}$ to the base of 4.

In simple words we have the find the exponent to which 4 would be raised to so that we get $\frac{1}{16}$.

Let's write it in simple form:-

4ˣ = $\frac{1}{16}$

4ˣ =  $\frac{1}{4²}$

4ˣ = 4⁻²

Cancel the base.

x = -2

So, when 4 is raised to the exponent -2 we get  $\frac{1}{16}$.

Hence, log₄ $\frac{1}{16}$ = -2

❣️⭐ Hope it helps you dear...⭐⭐❣️❣️