Logarithms In A.P

Algebra Level 2

The following logarithms are in an arithmetic progression:

\[\log_{2}4 + \log_{2}{16} + \log_{2}{64} + \cdots + x = 42.\]

If \(x\) can be expressed as \(\log_{2}a,\) find the value of \(a.\)

See also: Progressions 1 and Progressions 2.

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