horcio5284 horcio5284
  • 07-06-2018
  • Mathematics
contestada

What is the true solution to the logarithmic equation below? log4[log4(2x)]=1
a. x=2
b. x=8
c. x=64
d. x=128

Respuesta :

carlosego
carlosego carlosego
  • 18-06-2018
To solve this problem, you have:
 1. You have the following logarithmic expression log4[log4(2x)]=1, therefore:
 
log4[log4(2x)]=1
 4^log4[log4(2x)]=4^1
 2. By definition, a^log(x)=x, then:
 log4(2x)=4
 4^log4(2x)=4^4
 2x=4^4
 x=256/2
 x=128
 Therefore, the answer is the option d: d. x=128
Answer Link

Otras preguntas

HELP ASAP!!! A wave with a low frequency generally has a _____. A. low amplitude B. high amplitude C. long wavelength D. short wavelength A wave with a high
How does maccorquodale respond to chomsky?
When might neutralization reactions be used in a laboratory setting
how did john tyler betray his party after assuming the presidency
Which of the following represents 2x-5y+15=o written in slope-intercept form? Y=-2/5x+3. Y=2/5x-3. Y=2/5x+3
Question 10 of 10 Multiple Choice: Please select the best answer and click "submit." Which one of these composers is NOT known for his writing of film scores?
If you join all the vertices of a heptagon how many quadrilaterals will you have
How does Pip's first experience at Miss Havisham's house make him feel?
Why did the Puritan settlements surround a village green?
A coordinate grid is placed over a map and every unit represents 1 km. The point at (2,3) represents of the library and the point at (6,-1) represents the loca
good job