What is the answer to 2^{x+4}=2^{3x-1} ?

The answer to 2^{x+4}=2^{3x-1} is x= 5/2

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2^{x+4}=2^{3x-1}

2^{x + 4} = 2^{3 x - 1}

x = \frac{5}{2}

Decimal Notation

x = 2.5

Solution steps

2^{x + 4} = 2^{3 x - 1}

Apply exponent rules

x + 4 = 3 x - 1

Solve

x + 4 = 3 x - 1 : x = \frac{5}{2}

x = \frac{5}{2}

9^{x} = 243

e^{9 x} - 5 e^{3 x} + 4 = 0

e^{x} = 9

3^{x} = 4

e^{x} + 1 = 2

What is the answer to 2^{x+4}=2^{3x-1} ?
The answer to 2^{x+4}=2^{3x-1} is x= 5/2
Solve for x: 2^{x+4}=2^{3x-1}
The solution is x= 5/2