SOLUTION: Hi log base 4(2^x+48)=x-1 what is the value of x. thanks

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Question 1126961: Hi
log base 4(2^x+48)=x-1
what is the value of x.
thanks

Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
log base 4(2^x+48) does NOT equal log base 4(2^(x+48))

Mathematics requires precision. Get to know PEMDAS, and apply it properly.
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For +log%284%2C%282%5E%28x%2B48%29%29%29+=+x-1+, the answer is +highlight%28+x+=+50+%29

It is obtained easily by applying the following properties:
+4%5E%28log%284%2C%28x%29%29%29+=+x+
and
+4%5E%28x%29+=+2%5E%282x%29+

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