Question 1069890
{{{ 2^( 5x - 9 ) = ( 1/8 )^( 6x+6 ) }}}
{{{ 2^( 5x - 9 ) = ( 2^(-3))^( 6x+6 ) }}}
{{{ 2^( 5x - 9 ) = 2^( (-3)*( 6x+6 ) ) }}}
{{{ 5x - 9 = ( -3 )*( 6x + 6 ) }}}
{{{ 5x - 9 = -18x - 18 }}}
{{{ 23x = -9 }}}
{{{ x = -9/23 }}}
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check:
{{{ 2^( 5x - 9 ) = ( 1/8 )^( 6x+6 ) }}}
{{{ 2^(( 5*(-9/23) - 9 )) = ( 1/8 )^(( 6*(-9/23)+6 )) }}}
{{{ 2^(( -45/23  - 9 )) = (1/8)^(( -54/23 + 6 )) }}}
{{{ 2^(( -45/23 - 207/23 )) = (1/8)^(( -54/23 + 138/23 )) }}}
{{{ 2^(( -252/23 )) = ( 1/8 )^(( 84/23 )) }}}
{{{ 2^( -252/23 ) = 2^( (-3)*(84/23 ) ) }}}
{{{ 2^( -252/23 ) = 2^( -252/23 ) }}}
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Check my math & definitely get a 2nd opinion