document.write( "Question 1140920: Write an expression, of the type A log(x + B), for the transformed logarithmic function shown below:
\n" ); document.write( "(0,3) and (2,0)? \n" ); document.write( "

Algebra.Com's Answer #761548 by KMST(5328) $\"\"$ $\"About$

You can put this solution on YOUR website!
Probably there is a typo, and something got \"lost in translation\".
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\n" ); document.write( "If the function is $\"f%28x%29=A%2Alog%28%28x%2BB%29%29\"$ or $\"y=A%2Alog%28%28x%2BB%29%29\"$ ,
\n" ); document.write( "the domain of the function is where $\"x%2BB%3E0\"$ .
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\n" ); document.write( "For point (2,0) where $\"x=2\"$ and $\"y=0\"$ ,
\n" ); document.write( " $\"0=A%2Alog%28%282%2BB%29%29\"$
\n" ); document.write( "Either $\"A=0\"$ , or $\"log%28%282%2BB%29%29=0\"$
\n" ); document.write( "The solution $\"A=0\"$ would make the function $\"y=0\"$ ,
\n" ); document.write( "even for $\"x=0\"$ , so it must be
\n" ); document.write( " $\"log%28%282%2BB%29%29=0\"$ , which means
\n" ); document.write( " $\"2%2BB=1\"$ ,
\n" ); document.write( " $\"B=1-2\"$ , and
\n" ); document.write( " $\"highlight%28B=-1%29\"$
\n" ); document.write( "Then, the function is only defined where $\"x-1%3E0\"$ , or $\"x%3E1\"$
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\n" ); document.write( "The point (0,3) with $\"x=0\"$ cannot be part of the graph of such a function. \n" ); document.write( "

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