60.5k views
0 votes
Solve the exponential equation.
4(12 – 3x) = 4,096

User Fantom
by
4.3k points

2 Answers

3 votes
X= 2 have a great day
User Lars Levie
by
4.2k points
4 votes

Answer:

x=2

Explanation:

4 ^(12 – 3x) = 4,096

Rewrite 4096 as a power of 4

4 ^(12 – 3x) = 4 ^6

The bases are the same so the exponents are the same

12 -3x = 6

Subtract 12 from each side

12-12 -3x = 6-12

-3x = -6

-3x/-3 = -6/-3

x = 2

User Diego Haz
by
4.5k points