What is the answer to 2^{3^{8^x}}=512 ?

The answer to 2^{3^{8^x}}=512 is x= 1/3

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2^{3^{8^x}}=512

2^{3^{8^{x}}} = 512

x = \frac{1}{3}

Decimal Notation

x = 0.33333 \dots

Solution steps

2^{3^{8^{x}}} = 512

Apply exponent rules

3 x = 1

Solve

3 x = 1 : x = \frac{1}{3}

x = \frac{1}{3}

6^{x} = 1

2 x = 4 2^{x} - 1

2^{x} = 1 0^{2} + 1 0^{2} - 1 4^{2}

x, e^{x} = \frac{e ^{11}}{e ^{y}}

e^{x} = \frac{k}{x - 3}