What is the answer to 4^x+4^x+4^x+4^x=4^{16} ?

The answer to 4^x+4^x+4^x+4^x=4^{16} is x=15

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4^x+4^x+4^x+4^x=4^{16}

4^{x} + 4^{x} + 4^{x} + 4^{x} = 4^{16}

x = 15

Solution steps

4^{x} + 4^{x} + 4^{x} + 4^{x} = 4^{16}

Add similar elements:

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

4 \cdot 4^{x} = 4^{16}

Divide both sides by

4

4^{x} = \frac{4 ^{16}}{4}

Simplify

4^{x} = 4^{15}

Apply exponent rules

x = 15

6 4^{x} = 512

4 = 2^{2 x}

4^{x - 1} = 2^{2 x} - 12

7^{x} + 7^{x + 1} - 7^{x - 1} = - 286

x, 3^{5 + 4 x} = 9^{x}

What is the answer to 4^x+4^x+4^x+4^x=4^{16} ?
The answer to 4^x+4^x+4^x+4^x=4^{16} is x=15
Solve for x: 4^x+4^x+4^x+4^x=4^{16}
The solution is x=15