If 9 + ( 81 ) x = 1 / 27 x &#x2212; 3 , find x.

Question

If     9    +    (    81          )      x        =    1          /              27      x        &amp;#x2212;    3  , find x.

Rigoberto Gordon · Accepted Answer

9    &amp;#xD7;          81      x        =    1          /              27      x        &amp;#x2212;    3             3      2        &amp;#x00D7;          3              4        x              =    (    1          /        3          )      3        (    x    &amp;#x2212;    3    )             3      2        +    4    x    =          3      &amp;#x2212;        [    3    (    x    &amp;#x2212;    3    )    ]   Bases are equal. Exponents must be equal.      2    +    4    x    =    &amp;#x2212;    (    3    x    &amp;#x2212;    9    )   2+4x = -3x+9 4x+3x = 9-2 7x = 7 x = 7/7 x = 1 Thus, the value of x is 1

If 9 + ( 81 ) x = 1 / 27 x − 3 ,...

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