Question 437896
{{{ log(8, x^2) = (log(8, x))^2 }}}
{{{ 2*log(8, x) = (log(8,x))^2 }}}
Let {{{ log(8,x) = k }}}
{{{ 2k = k^2 }}}
{{{ k^2 - 2k = 0 }}}
{{{ k*(k - 2) = 0 }}}
{{{ k = 0 }}}
{{{ k = 2 }}}
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{{{ log(8,x) = 0 }}}
{{{ x = 1 }}}
and
{{{ log(8,x) = 2 }}}
{{{ x = 64 }}}
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check answers:
{{{ log(8, x^2) = (log(8, x))^2 }}}
{{{ log(8, 1^2) = (log(8, 1))^2 }}}
{{{ 0 = 0 }}}
and
{{{ log(8, x^2) = (log(8, x))^2 }}}
{{{ log(8, 64^2) = (log(8, 64))^2 }}}
{{{ log(8, 4096) = (log(8, 64))^2 }}}
{{{ 4 = 4 }}}
OK