document.write( "Question 1115169: Billy is graphing f(x) = log base 4 (2x-3) + 1 without a calculator. Name two points he could use on his graph if both points can only have y-coordinates that are integers. Show all work. \n" ); document.write( "

Algebra.Com's Answer #730089 by greenestamps(13203) $\"\"$ $\"About$

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\n" ); document.write( "If $\"log%284%2C2x-3%29%2B1\"$ is to be an integer, then $\"log%284%2C2x-3%29\"$ must be an integer.

\n" ); document.write( "That means 2x-3 must be a integer power of 4.

\n" ); document.write( "Some choices....
\n" ); document.write( " $\"4%5E0=1\"$ ; 2x-3=1 --> x = 2. $\"log%284%2C2x-3%29%2B1+=+log%284%2C1%29%2B1+=+0%2B1+=+1\"$ --> (x,y) = (2,1)
\n" ); document.write( " $\"4%5E1=4\"$ ; 2x-3=4 --> x = 7/2. $\"log%284%2C2x-3%29%2B1+=+log%284%2C4%29%2B1+=+1%2B1+=+2\"$ --> (x,y) = (7/2,2)
\n" ); document.write( " $\"4%5E2=16\"$ ; 2x-3=16 --> x = 19/2. $\"log%284%2C2x-3%29%2B1+=+log%284%2C16%29%2B1+=+2%2B1+=+3\"$ --> (x,y) = (19/2,3)

\n" ); document.write( "etc., etc.... \n" ); document.write( "

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