72.4k views
5 votes
If 32^2c=8^c what is the value of c? 1 2 3 5

User Gbru
by
8.8k points

2 Answers

3 votes

Answer:

the answer is 3

Explanation:

User Jamund Ferguson
by
7.7k points
3 votes

Answer:

  • as written, c ≈ 0.000979 or c = 4
  • alternate interpretation: c = 0

Explanation:

As written, you have an equation that cannot be solved algebraically.

(32^2)c = 8^c

1024c = 8^c

1024c -8^c = 0 . . . . . . rewrite as an expression compared to zero

A graphical solution shows two values for c: {0.000978551672551, 4}. We presume you're interested in c = 4.

___

If you mean ...

32^(2c) = 8^c

(2^5)^(2c) = (2^3)^c . . . . rewriting as powers of 2

2^(10c) = 2^(3c) . . . . . . . simplify

10c = 3c . . . . . . . . . . . . . .log base 2

7c = 0 . . . . . . . . . . . . . . . subtract 3c

c = 0 . . . . . . . . . . . . . . . . divide by 7

If 32^2c=8^c what is the value of c? 1 2 3 5-example-1
User AxleWack
by
9.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories