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

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