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

If the scores of 3 students in a test are 5,6 and 7. Find the standard deviation of their scores.
Description about Tanks during WW1 and WW2. How did it advance?
What freedoms do you enjoy in your life? What do you see as interfering with the exercise of your rights and freedoms?
Please show work for number 3 and 4!
Mathematics please help
Review the following scenes from Romeo and Juliet: -The opening fight scene between the Capulets and Montagues -The Capulet party where Romeo and Juliet meet -T
What is the measure of angle A'? 45º 63º 72º 98º
What type of bonding around a central atom would result in a trigonal planar molecule?
Select the correct answer from each drop-down menu. Rodrigo applied for a $14,000 loan at an interest rate of 5.4% for 6 years. Use the monthly payment formula
The effects of industrialization were widespread. Please explain at least 3 effects of industrialization around the globe.