What is the answer to 5*2^x+2^x=24 ?

The answer to 5*2^x+2^x=24 is x=2

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5*2^x+2^x=24

5 \cdot 2^{x} + 2^{x} = 24

x = 2

Solution steps

5 \cdot 2^{x} + 2^{x} = 24

Add similar elements:

5 \cdot 2^{x} + 2^{x} = 6 \cdot 2^{x}

6 \cdot 2^{x} = 24

Divide both sides by

6

2^{x} = 4

Apply exponent rules

x = 2

x \cdot e^{(- 2 x)} = 0.08187

5^{3 x - 6} = 1

9^{x} + 3^{x} = 2

5^{x + 2} = 7^{x - 1}

2^{x} - 2^{(x - 2)} = 3 \cdot 2^{13}