Frida76451328
Frida76451328 Frida76451328
  • 23-09-2020
  • Mathematics
contestada

4^x+ 2^(1+2x)= 50
I know what the answer is (about 2.03), but I need help getting there!

Respuesta :

MathPhys
MathPhys MathPhys
  • 23-09-2020

Step-by-step explanation:

4ˣ + 2¹⁺²ˣ = 50

Rewrite 4 as a power of 2.

2²ˣ + 2¹⁺²ˣ = 50

Factor out 2²ˣ.

2²ˣ (1 + 2) = 50

2²ˣ = 50/3

Take log of both sides.

ln(2²ˣ) = ln(50/3)

Use exponent property.

2x ln 2 = ln(50/3)

Solve for x.

x = ln(50/3) / (2 ln 2)

Simplify.

x = ln(50/3) / (ln 4)

x ≈ 2.03

Answer Link

Otras preguntas

Please find a... I will mark you brainliest
lol Lolol omg omg omg aluvky number 77​
que desechos se eliminan a traves de la orina?
Solve 2/v + 1/w = 1/2 for v
the term ________ is described as a formal means of analyzing long-range investment alternatives.
En France/ on/ boire / un café / après le déjeuner (lunch). Pls help me question number 5. This my French assignment.
4. What are the teachings of the Daoist philosophy?
A pyramid has a square base of length of 12m. Given the slant height of the pyramid is 15 m, draw its net and hence, find its total surface area.
0.314 x 100 = help me pls
Answer the following questions based on the article Sand Dunes: More Than Giant Heaps of Sand. Use complete sentences. What important role do sand dunes play? H