document.write( "Question 970412: Hello, I have a question, i've done almost all my homeworks, but there are 2 more, and they are logarithms, with equations and I really don't see how to do them.
\n" ); document.write( "Could you please help me ?\r
\n" ); document.write( "\n" ); document.write( "log3(x+1) - log3(x) = 1\r
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Algebra.Com's Answer #593045 by rothauserc(4718)\"\" \"About 
You can put this solution on YOUR website!
log3(x+1) - log3(x) = 1
\n" ); document.write( "use logarithm difference rule
\n" ); document.write( "log3( (x+1) / x ) = 1
\n" ); document.write( "use definition of logarithm
\n" ); document.write( "(x+1) / x = 3
\n" ); document.write( "multiply both sides of = by x
\n" ); document.write( "x+1 = 3x
\n" ); document.write( "subtract x from both sides of =
\n" ); document.write( "2x = 1
\n" ); document.write( "divide both sides of = by 2
\n" ); document.write( "x = 1/2 = 0.5
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\n" ); document.write( "check answer by substituting for x in original equation
\n" ); document.write( "log3(0.5 + 1) - log3(0.5) = 1
\n" ); document.write( "log3(1.5) - log3(0.5) = 1
\n" ); document.write( "log3(1.5/.5) = 1
\n" ); document.write( "log3(3) = 1
\n" ); document.write( "1 = 1
\n" ); document.write( "answer checks\r
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