Question 87130
{{{ log8 (1/16) = y }}}

this is asking you (or telling you) which number (y) do you need such that 8^y = 1/16


Firstly, answer {{{ 8^y = 16 }}}. You have to know that 8 comes from a power of 2 and also that 16 does too:


{{{ 2^3 = 8 }}}
{{{ 2^4 = 16 }}}


so {{{ 8^(1/3) = 2 }}} amd then raising this to power 4 gives us 16 --> {{{ 8^(4/3) }}}


So, for 1/16, it will be the negative version... {{{ 8^(-4/3) = 1/16 }}}


hope this helps
cheers
Jon