Seudónimo Seudónimo
  • 01-06-2015
  • Mathematics
contestada

Solve algebraically 3^x= 243

Respuesta :

hunaifirst hunaifirst
  • 01-06-2015
3^x=243

so :

³log243=x
³log 3^5=x
x=5


or

5^√243
=3
Answer Link
Panoyin
Panoyin Panoyin
  • 01-06-2015
[tex]3^{x} = 243 \\ln(3^{x}) = ln(243) \\xln(3) = ln(243) \\\frac{xln(3)}{ln(3)} = \frac{ln(243)}{ln(3)} \\x = \frac{ln(243)}{ln(3)} \\x = \frac{ln(3^{5})}{ln(3)} \\x = \frac{5ln(3)}{ln(3)} \\x = 5[/tex]
Answer Link

Otras preguntas

original price: $5 sale price: $3.25 PLEASE PLEASE PLEASE HELP ME I NEED THE DISCOUNT PRICE ONLY
Find x(3x+72) triangle
What does Hamlet vow at the conclusion of his "How all occasions do inform against me" soliloquy?
What is the importance of physical activity participation during this pandemic?​
Please help! I will mark as brainliest IF answer is right. <3
If a person is very calm, not stressed out or overanxious, they are considered:
tema: ¿Cómo nos ayudan los lazos con el pasado a comprender nuestra identidad nacional y étnica? ¿Como nos ayudan los lazos con el pasado a comprender nuestra i
How does the force of drag affect a rocket’s flight? SCIENCE SUBJECT PAPER ROCKET
A pen costs $2.09 and a marker costs $1.45. Ken bought one pen and one marker with a five dollar bill. What was his change?
A doctor observes a graph that shows the electrical activity (in volts) of the heart of a patient over a period of time (in seconds). Each spike corresponds to