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

Write a paragraph explaining how domesticating livestock allowed civilizations to spread.
what is the least number of coins you can use to show $0.37? what are the coins?
Write this decimal as a fraction or a mixed number 9.75=
Which word best completes the sentence? That car runs quite __________ for us. a. good b. well
Which of the following statements describes a scientific law? a. A scientific law explains a set of events. b. A scientific law describes what occurs every
One quarter is 191/200 inch in diameter. Eight quarters are placed side by side how many inches long is the line of quarters
20 nails for every 5 shingles 12 nails for every three singles are the ratios equivalent
what is 65.85 rounded to the nearest tenth
The whole is 8. One part is 8. What is the other part? Tell how you know.
What is 110 mi/h converted to mi/day