mimibimitheanimator
mimibimitheanimator mimibimitheanimator
  • 24-03-2021
  • Mathematics
contestada

(1/2)^x=16^2

Could you please help me with the step-by step? This problem is giving me trouble. ​

12x162Could you please help me with the stepby step This problem is giving me trouble class=

Respuesta :

LammettHash
LammettHash LammettHash
  • 24-03-2021

Write both sides as powers of 2. First,

1/2 = 2⁻¹

16 = 2⁴

so the equation can be rewritten as

(1/2)ˣ = 16²

(2⁻¹)ˣ = (2⁴)²

Recall that [tex](a^b)^c=a^{bc}[/tex], so that

2⁻ˣ = 2⁸

The bases are the same, so the exponents must be equal:

-x = 8

x = -8

Answer Link

Otras preguntas

Judaism has influence what two religions?
what are some animal structures and compounds that are made of protein
Graph y=-3x(squared) +5
Suppose that the functions s and t are defined for all real numbers x as follows. s(x) = 2x+4 t(x) = 5x Write the expressions for (s+t)(x) and (s-t)(x) and eva
How many degrees in a full rotation?
how to solve for b in this equation: A=1/2h X b+c
How do you solve x+5=14?
List 5things you do daily and give examples of how life science might relate to each of these things
How many degrees in a full rotation?
write two inequalities to compare -9 and -4