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Find value of x:- 2²x 1=4²x-1?
Most Upvoted Answer
Find value of x:- 2²x 1=4²x-1?
Solution:


Given:

2²x+1 = 4²x-1


Method:

Using exponent laws, we can simplify the given equation.

2²x+1 = 4²x-1

2²x × 2¹ = 4²x ÷ 4¹

2²x+1 = 2²x

2²x × 2¹ = 2²x

2²x+1-2²x = 0

2²x (2¹ - 1) = 0

2²x = 0 or 2¹ - 1 = 1


Calculation:

2²x = 0 or 2¹ - 1 = 1

2²x = 0

2x = -2

x = -1


Answer:

x = -1
Community Answer
Find value of x:- 2²x 1=4²x-1?
2² × 1 = 4⁴x -1
4 × 1 =. 16x - 1. ( as 2 square is 4 and 4 square is 16)
4+1 = 16x
5/16 = x
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