document.write( "Question 597210: How do I graph y=log4 x+3 \n" ); document.write( "

Algebra.Com's Answer #378115 by lwsshak3(11628) $\"\"$ $\"About$

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How do I graph y=log4 x+3
\n" ); document.write( "Draw the basic log function first:
\n" ); document.write( "It has the y-axis as an asymptote and an x-intercept at 1.
\n" ); document.write( "This is true for any base.
\n" ); document.write( "When x<1, the log function rapidly increases negatively as it approaches the asymptote.
\n" ); document.write( "When x>1, the log function increases positively more slowly as it approaches the +infinity.
\n" ); document.write( "Plotting a few points on either side of x=1 with a calculator will give you a good idea what the curve looks like. For log base 4, use the change of base formula. And finally,bump the y-coordinates 3 units up to get the final given curve. \n" ); document.write( "

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