Question

If 16 to the power of x = 1/64. what is the value of x?

Answer 1

Answer:

$\: \: \: \: \: \: \: \: {16}^{x} = \frac{1}{64} \\ = > {2}^{4x} = \frac{1}{ {2}^{6} } \\ = > {2}^{4x} = {2}^{ - 6} \\ = > 4x = - 6 \\ = > x = \frac{ - 6}{4} \\ = > x = \frac{ - 3}{2}$

Answer 2

Answer:

-3\2

Step-by-step explanation:

16^x= 1/64

2^4x=1/2^6

2^4x=2^-6 the numbers will cancel each other

4x=-6

x=-6/4

x=-3/2