Question

2^x+3=4^x-1then find x

Answer 1

2^x+3=4^x-1

4^x-2^x=3-1

2^x=2

x=1

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Answer 2

Answer:

x = 1

Step-by-step explanation:

2^x + 3 = 4^x - 1

4^x - 2^x = 3 + 1

2^(2x) - 2^x = 2^2

2^x(2^x - 1) = 2^1(2^1 - 1)

Thus,

On equating the Left hand Expression with Right hand Expression, we can conclude that:

2^x = 2^1 ....... and ........ 2^x - 1 = 2^1 - 1

2^x = 2^1 ........ and........ 2^x = 2^1

=> 2^x = 2^1

Equating the exponents when base are same,

=> $\fbox{x = 1}$