What is the answer to 2^x+3*2^x=64 ?

The answer to 2^x+3*2^x=64 is x=4

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2^x+3*2^x=64

2^{x} + 3 \cdot 2^{x} = 64

x = 4

Solution steps

2^{x} + 3 \cdot 2^{x} = 64

Add similar elements:

2^{x} + 3 \cdot 2^{x} = 4 \cdot 2^{x}

4 \cdot 2^{x} = 64

Divide both sides by

4

2^{x} = 16

Apply exponent rules

x = 4

4^{x + 5} = 4^{3 x - 2}

43 = 72 + (39 - 72) e^{k \cdot 1}

1 6^{x} = 6 4^{x + 4}

x^{- \frac{1}{700} (x)} = 94667

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