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( 2/3) ^(3x - 1) = 1
( 2/3)^( 3 x - 1) = ( 2/3)^0
3 x - 1 = 0
3 x = 1
x = 1/3
============
( 2/9)^(3 x - 7 ) = ( 9/2) ^(7 x - 3)
( 2/9)^(3 x - 7) = ( 2/9)^ ( - 7 x + 3)
3 x - 7 = - 7 x + 3
10 x = 10
x = 1
=========
3^x * ( 1/3)^(x - 3) = ( 1/27)^x
3^x * 3^( - x + 3) = [ 3^( -3)]^x
3^3 = 3^( - 3x)
3 = - 3x
x = - 1
==============
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( 2/3) ^(3x - 1) = 1
( 2/3)^( 3 x - 1) = ( 2/3)^0
3 x - 1 = 0
3 x = 1
x = 1/3
============
( 2/9)^(3 x - 7 ) = ( 9/2) ^(7 x - 3)
( 2/9)^(3 x - 7) = ( 2/9)^ ( - 7 x + 3)
3 x - 7 = - 7 x + 3
10 x = 10
x = 1
=========
3^x * ( 1/3)^(x - 3) = ( 1/27)^x
3^x * 3^( - x + 3) = [ 3^( -3)]^x
3^3 = 3^( - 3x)
3 = - 3x
x = - 1
==============