brifr0mig1 brifr0mig1
  • 01-07-2022
  • Mathematics
contestada

Solve for 'x' in the following equation, explaining each step.

3^ (-3x+7) = 3^ (7x-13)

Respuesta :

lpina68 lpina68
  • 01-07-2022

Answer:

x = 2

Step-by-step explanation:

In order to have the two sides of the equation be equal, the exponents must equal.

-3x + 7 = 7x - 13

Add 3x to both sides.

7 = 10x - 13

Add 13 to both sides.

20 = 10x

Divide by 10.

2 = x

Check:

3^(-3•2+7)=3^(7•2-13)

3^1 = 3^1

3 = 3

Answer Link

Otras preguntas

Keiko made her mother a quilt. The width is 8 3/7 and the length is 7 2/3 ft. What is the area of the quilt
The population P of rabbits on a small island grows at a rate that is jointly proportional to the size of the rabbit population and the difference between the r
help please please please please​
PARTA(30 marks)Answer all the questionsthat his story was true.For questions 1-16, choose from the alternatives A-D, the word(s) that bestcompletes each of the
Which 2 areas in Asia have the lowest population density and what might be the reason?
What year was tge second five year plan
Name three jobs in insurance. What do administrative support careers do? Name three tasks.
Can some one help on number 5 and 6 please
(WILL GIVE BRAINLIEST) Which of the following statements is best supported by the scatter plot? ANSWER CHOICES: -As the number of minutes increases the number o
Which statement best completes the diagram? Early South American Civilizations Left behind artifacts ? Traded with other groups A. Did not build permanent build