6th grade problem

Algebra Level 2

1+a+a2+a3++ax=(1+a)(1+a2)(1+a4)(1+a8)x= ? \begin{aligned} \large 1 + a + a^2 + a^3 + \ldots + a^x &=& (1+a)(1+a^2)(1+a^4)(1+a^8) \\ \large x &=& \ ? \end{aligned}

Assume a0a \ne 0 .

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