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

What is the difference between bacillary dysentery and amebic dysentery?
Arlene wants to create a scale drawing of the poster shown below: a rectangle is shown. the length of the rectangle is labeled 6 inches. the width of the rectan
help me! this is hard! i don't understand
a gallon of water sealant can cover a square deck with an area of 190 square feet. about how long is each side of the deck? round your answer to the nearest foo
What is the iupac name for the following compound? ch3−ch2−ch2−ch2−ch2−ch2−ch2−ch2−ch3
How would you ask someone if he or she can grill chicken?
Explain the main reason for the increased migration of africa americans out of the rural south during/following world war 1?
A 5 pound bag of potatoes costs 2.85. a 3 pound bag of the same potatoes costs 1.80. which bag has the lower price how much lower
Instructions: For this assignment you will write sentences using the -go verbs in the present tense. You may write a: Story Poem Dialogue Song Jingle Use at l
which of the following chemicals, found in tobacco smoke, is also found in nail polish remover?