Question

If root 2 raise to n is equal to 64 then n is equal to

Answer 1

√2 ^ n = 64 ⇒ 2 ^ n/2 = 2 ^ 6 ⇒ n / 2 = 6 ⇒ n = 12 This is a mathematical equation.

Though there are many ways in which this equation can be solved, but this is known to be one of the easiest ways of solving it

Answer 2

$(\sqrt{2} ) ^n = 64$

Write the square root as exponent:

$(2 )^\frac{n}{2} = 64$

Write 64 as 2⁶:

$(2 )^\frac{n}{2} = 2^6$

Since both numbers are 2, the exponents are equal:

$\dfrac{n}{2} = 6$

Multiply 2 on both sides:

$n = 12$

Answer: n = 12