clinky89 clinky89
  • 04-02-2019
  • Mathematics
contestada

How do u solve to get x?

How do u solve to get x class=

Respuesta :

mathecoach
mathecoach mathecoach
  • 04-02-2019

Step-by-step explanation:

2^(2x) - 5(2^x) = -4

(2^x)^2 - 5(2^x) = -4

Substitute 2^x = z --> x = ln(z)/ln(2)

z^2 - 5z = -4

z^2 - 5z + 4 = 0

(z - 1)(z - 4) = 0

z = 1 --> x = ln(1)/ln(2) = 0

z = 4 --> x = ln(4)/ln(2) = 2


Answer Link

Otras preguntas

what is the purpose of fertilization in terms of chromosomes
Sally invests £8000 in a savings account. the account pays 2.8% compound interest per year. What is the value of her investment after 4 years?
A car slams on its brakes, coming to a complete stop in 4.0 s. The car was traveling south at 60.0 mph. Calculate the acceleration. mi/h/s
I need to correct my math problem
red or blue? what to choose?
A carpet store is having a closing sale with carpet at $12.70 per square yard. If your living room is 210 square feet, how much would it cost to carpet?
Jimmy spent 22% of all his money to buy a computer game. How much did the game cost, if Jimmy had $200 before buying the game?
A circle has a radius of 19m . find the radian measure of the central angle θ that intercepts an arc of length 6m .
Match the vocabulary word to its correct definition. 1. element a collection or group of objects indicated by braces, { } 2. null set a set containing no el
Consumers consider universal, retrieval, and evoked sets during the ______________ stage of the consumer decision process.