badboyballen badboyballen
  • 06-11-2020
  • Mathematics
contestada

If 32^2C = 8^C+7, what is the value of c?
1
2
3
5

If 322C 8C7 what is the value of c 1 2 3 5 class=

Respuesta :

LammettHash
LammettHash LammettHash
  • 06-11-2020

32 = 2⁵ and 8 = 2³, so you can rewrite the equation as

[tex]32^{2c}=8^{c+7}\implies(2^5)^{2c}=(2^3)^{c+7}\implies 2^{10c}=2^{3c+21}[/tex]

The bases of both sides are equal, so the exponents must be too. Solve for c :

10c = 3c + 21

7c = 21

c = 3

Answer Link

Otras preguntas

What is true about all the muscles in the human body
The following chemical reaction takes place in aqueous solution: FeCl₂(aq)+K₂S(aq) → FeS(s)+2 KCl(aq) Write the net ionic equation for this reaction.
Can someone help me wit this too
Hello, I desprately need help in python with this question. I have tried everything:This is the question: 4.19 LAB: Driving costs - functions Driving is expensi
You have a budget of $300 to order shirts for a math club. The equation. 10x + 12y = 300 models the total cost, where x is the number of short-sleeved shirt
If element L has 2 isotopes, one with a mass of 67 amu and a relative abundance of 55%, what is the average atomic mass if the other isotope has a mass of 72amu
Solve 7x − 2(x + 1) = 6x + 14 A. x = −12 B. x = 12 C. x = −16 D. x = 16 I don't know what to do here.
Hello anyone from USA here?​
a rectangular poster is 3 times as long as it is wide. it has an area of 27 square inches. what is the length and width of the poster
What were the thinkers of the fourteenth and fifteenth centuries called?​