coffeewithtal coffeewithtal
  • 19-03-2019
  • Mathematics
contestada

Hi, can someone please give me a detailed explanation on how to solve this problem?

Solve 3^(2x+3) = 243 for X

Respuesta :

matthewrzwermann matthewrzwermann
  • 19-03-2019

Answer:

Step-by-step explanation:

log3^(2x+3) = log243

(2x+3)log3 = log243

2x+3 = log243/log3

2x = (log243/log3)-3

x = [(log243/log3)-3]/2

x = (5-3)/2

x = 2/2

x = 1

Check:

3^2(1)+3 = 243

3^2+3 = 243

3^5 = 243

3×3×3×3×3 = 243

9×9×3 = 243

81×3 = 243

243 = 243

Answer Link

Otras preguntas

Find the measure of the angle indicated and show work please help I need this soon
Traveling is easier with A guy than without one
5TH GRADE LEVEL QUESTION: look at photo and answer.
The Monkeys Paw1. Identify Jacobs use of literary allusions to heighten suspense and fear in the reader. 2. Why does Jacobs suppress information about the third
NEED HELP ASAP TIMED The passage focuses primarily onA.the speaker’s early experiences with white peopleB.difficulties the speaker had growing upC.small-town li
PLZZ HELP IM FAILLING THIS CLASS
A sequence of steps to follow for a person who is being arrested to have the safest outcome
Help please I will give u brainlest and there’s a part d: how many families were interviewed? Part E: circle the numbers that represent joint frequencies
Mention the term is the first step in financial planning for a baby.
Whats the worst Zodiac sign and why?Whats your Zodiac sign? have a nice day ♡​​