Question

Solve 27 = 34x + 1.

one fourth
one half
2
4

Answer 1

The answer is 1/2

Explanation:

Rewrite as 3^4x+1=27

Create equivalent expressions that have equal bases:

3^4x+1=3^3

Since the bases are the same, 2 expressions are only equal if the exponents are also equal so,

4x+1=3

Solve for x:

4x=2

divide each by 4

2/4=1/2

1/2 is your answer.