document.write( "Question 36162: How do you graph a logarithmic function in easy-to-understand steps? I must be able to graph problems such as
\n" ); document.write( "y = log 1/3 (1/3 is the base of the logarithm) x-1 ... y = log1/3 x-1
\n" ); document.write( "y = log5 (5 is base of the logarithm) (x+2) ... y = log5 (x+2)\r
\n" ); document.write( "\n" ); document.write( "Why does one have parentheses and one doesn't? Does that make a difference? PLEASE HELP! ASAP! QUIZ TOMORROW AND I DON'T KNOW HOW TO GRAPH! THANKS! \n" ); document.write( "
Algebra.Com's Answer #22157 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
How do you graph a logarithmic function in easy-to-understand steps? I must be able to graph problems such as
\n" ); document.write( "y = log 1/3 (1/3 is the base of the logarithm) x-1 ... y = log1/3 x-1
\n" ); document.write( "y = log5 (5 is base of the logarithm) (x+2) ... y = log5 (x+2)
\n" ); document.write( "Why does one have parentheses and one doesn't?\r
\n" ); document.write( "\n" ); document.write( "y = log1/3 (x-1)\r
\n" ); document.write( "\n" ); document.write( "Plot some points to see the graph:
\n" ); document.write( "Let x=4/3 then y=log(base 1/3) of 1/3 =1
\n" ); document.write( "Let x=2 then y=0
\n" ); document.write( "Let x=4 then y=-1
\n" ); document.write( "Let x=10 then y=-2
\n" ); document.write( "How to do this?
\n" ); document.write( "Rewrite as (1/3)y=x-1
\n" ); document.write( "Put values in for y and solve for x.\r
\n" ); document.write( "\n" ); document.write( "y = log5 (x+2)
\n" ); document.write( "Let x=3 then y=1
\n" ); document.write( "Let x=23 then y=2
\n" ); document.write( "Let x=123 then y=3
\n" ); document.write( "How can you see this?
\n" ); document.write( "Change to an exponential equation, as follows:
\n" ); document.write( "5^y=(x+2)
\n" ); document.write( "Put in some values for y and solve for x\r
\n" ); document.write( "\n" ); document.write( "The parentheses help you make sure where the anti-log starts and finishes.
\n" ); document.write( "logx+1 is confusing as you don't know if you mean (logx)+1 of log(x+1)
\n" ); document.write( "Cheers,
\n" ); document.write( "stan H.\r
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