StephanieCrown
StephanieCrown StephanieCrown
  • 19-07-2021
  • Mathematics
contestada

9
[tex] {9}^{x} \times 16^{x } = 12[/tex]
​

Respuesta :

LammettHash
LammettHash LammettHash
  • 19-07-2021

9ˣ × 16ˣ = (9 × 16)ˣ = 144ˣ = 12

Since 12² = 144, it follows that x = 1/2.

That is,

144ˣ = 12

(12²)ˣ = 12

12²ˣ = 12

log₁₂(12²ˣ) = log₁₂(12)

2x log₁₂(12) = log₁₂(12)

2x = 1

x = 1/2

Answer Link

Otras preguntas

Why did the achievements of Jesse Owens and Joe Louis shake up both the Nazis in Germany and racist whites in the U.S.? Select the best answer from the choices
Use technology to approximate the solution(s) to the system of equations to the nearest tenth of a unit. Select all that apply. {f(x) = 2(3)^x{g(x) = 10log(x+3)
A farmer is building a fence to enclose a rectangular area against an existing wall, shown in the figure below. A rectangle labeled, Fenced in Region, is adjace
The segments shown below could form a triangle.
A Renaissance writer who applied humanistic principles to government was
Of all the potential causes of destruction created by hurricanes, storm surges produce __________. A. the greatest threat to loss of life B. no real threat to p
What is the explicit formula for the geometric sequence with this recursive formula?
Solve the formula d = st for s
when rewriting in the form y=a(x-h)+k, by completing the square, the relation y=-x*2+6x+12 becomes:
Describe how media can have a negative affect the health of adolescents.