Question 692847
{{{ log( 8, x^3 ) = 4 }}}
I can rewrite this as:
{{{ 8^4 = x^3 }}}
Now I can say
{{{ (8^(4/3))^3 = x^3 }}}
{{{ x = 8^(4/3) }}}
{{{ 8^(4/3) = 8^(1/3)^4 }}}
{{{ 8^(1/3)^4 = 2^4 }}}
{{{ 2^4 = 16 }}}
{{{ x = 16 }}}
check answer:
{{{ log( 8, x^3 ) = 4 }}}
{{{ log( 8, 16^3 ) = 4 }}}
{{{ 8^4 = 16^3 }}}
{{{ 8^4 = ( 2*8 )^3 }}}
{{{ 8^4 = 2^3 * 8^3 }}}
{{{ 8^4 = 8*8^3 }}}
{{{ 8^4 = 8^4 }}}
OK