document.write( "Question 1180362: Graph the function.\r
\n" ); document.write( "\n" ); document.write( "Use the graph of f(x) = log x to obtain the graph of g(x) = log (x - 3). \n" ); document.write( "

Algebra.Com's Answer #810003 by MathLover1(20849) $\"\"$ $\"About$

You can put this solution on YOUR website!
Use the graph of $\"f%28x%29+=+log+%28x%29\"$ to obtain the graph of $\"g%28x%29+=+log+%28x+-+3%29\"$ .\r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29+=+y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y+=+log+%28x%29\"$ ...convert to exponential function\r
\n" ); document.write( "\n" ); document.write( " $\"10%5Ey=x\"$ \r
\n" ); document.write( "\n" ); document.write( "make table\r
\n" ); document.write( "\n" ); document.write( " $\"x\"$ | $\"y\"$ ....choose $\"y\"$ values\r
\n" ); document.write( "\n" ); document.write( " $\"1%2F10\"$ | $\"-1\"$ -> $\"10%5E-1=x\"$ -> $\"1%2F10=x\"$
\n" ); document.write( " $\"0.3\"$ | $\"-1%2F2\"$ -> $\"10%5E%28-1%2F2%29=x\"$ -> $\"1%2Fsqrt%2810%29=x\"$ -> $\"0.3=x\"$
\n" ); document.write( " $\"1\"$ | $\"0\"$ -> $\"10%5E0=x\"$ -> $\"1=x\"$
\n" ); document.write( " $\"3.2\"$ | $\"1%2F2\"$ -> $\"10%5E%281%2F2%29=x\"$ -> $\"sqrt%2810%29=x\"$ -> $\"3.2=x\"$
\n" ); document.write( " $\"10\"$ | $\"1\"$ -> $\"10%5E1=x\"$ -> $\"10=x\"$ \r
\n" ); document.write( "\n" ); document.write( "plot points and draw a graph\r
\n" ); document.write( "\n" ); document.write( "

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\n" ); document.write( "\n" ); document.write( " $\"g%28x%29+=+log+%28x-highlight%283%29%29\"$ -> this $\"3\"$ will shift the graph $\"3\"$ units to the right, it will start from vertical line $\"x=3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x\"$ | $\"y\"$ ....choose $\"y\"$ values\r
\n" ); document.write( "\n" ); document.write( " $\"1%2F10%2B3\"$ | $\"-1\"$ -> $\"10%5E-1%2B3=x\"$ -> $\"1%2F10%2B3=x\"$
\n" ); document.write( " $\"0.3\"$ | $\"-1%2F2\"$ -> $\"10%5E%28-1%2F2%29=x\"$ -> $\"1%2Fsqrt%2810%29=x\"$ -> $\"0.3=x\"$
\n" ); document.write( " $\"1\"$ | $\"0\"$ -> $\"10%5E0=x\"$ -> $\"1=x\"$
\n" ); document.write( " $\"3.2\"$ | $\"1%2F2\"$ -> $\"10%5E%281%2F2%29=x\"$ -> $\"sqrt%2810%29=x\"$ -> $\"3.2=x\"$
\n" ); document.write( " $\"10\"$ | $\"1\"$ -> $\"10%5E1=x\"$ -> $\"10=x\"$ \r
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\n" ); document.write( "\n" ); document.write( "

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\n" ); document.write( "\n" ); document.write( "here is better graph\r
\n" ); document.write( "\n" ); document.write( " $\"MSP424123177ahcg2bb8ec00004e0ee4031da8445g\"$ \r
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