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

Define Absolute Monarchy... (Check all that apply) A) Given power by the people B) Found across Europe C) King or Queen answers to no one D) Above the law
I need help with all answers (I don’t get anything) :’)
Solve for x 10x-2(x+4)=8(x-2)+6
Find the midpoint of the line segment joining the points P1 and P2. P1 = (4.2) P2 = (-2,5) The midpoint is
List/Explain All requirement prioritization technique
A landscaper uses 1225 lb of soil to complete a project. The soil comes in bags that weigh 40 lb each. How many bags of soil does the landscaper use to complete
When you round a number which digit in the number helps you decide to round up or round down?
S=[E,F,G,H,J] identify the ways to select two members from s allowing the repetition
What does muy bien mean​
: Which statement identifies the central idea of the text?