Question 1126961
log base 4(2^x+48)  does NOT equal  log base 4(2^(x+48)) <br>

Mathematics requires precision.   Get to know PEMDAS, and apply it properly.

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For  {{{ log(4,(2^(x+48))) = x-1 }}},  the answer is {{{ highlight( x = 50 )}}}<br>

It is obtained easily by applying the following properties:

    {{{ 4^(log(4,(x))) = x }}}
and
    {{{ 4^(x) = 2^(2x) }}}<br>

… and  finally by observing LHS exponent = RHS exponent and solving for x.