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

What are the main causes of Florida residents' preference for paint powder coating?
PLEASE HELP! HOW DO YOU SOLVE THIS?
Tropical sites monsoon and north east monsoon pie chart or bar graph
How can almanacs be used as references?an almanac is a thesaurus.A. TrueB. False
Write any two uses of sodium bicarbonate
Insert the correct symbol 5 _ 4
Please, I need help with this problem: A car of mass m travels at a constant speed (v) when it encounters a bump with a radius of curvature r. ➤ Determine, b
Select the correct answer. 1 Ben works as an accountant at a shipping company. While managing the financial invoices, he noticed that there was a tax that his c
6x + y=18 4x + y=14 solve the linear equation
Can you recommend the best Indo Chinese restaurant in Heathcote Valley?