document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1195032>Question 1195032</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Using the properties of logarithms, simplify the expression ln 𝑦 such that there is no<BR>\n" );
document.write( "contain products, quotients or powers.<BR>\n" );
document.write( "𝑦 = √(3𝑥 − 4)(3 −2𝑥) / √(4𝑥² − 1) </SPAN>\n" );
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document.write( "Still ambiguous... but now I can guess what the correct expression is.  Adding one more set of parentheses...:<br><BR>\n" );
document.write( "𝑦 = √((3𝑥 − 4)(3 −2𝑥)) / √(4𝑥² − 1)<br><BR>\n" );
document.write( "A square root is the 1/2 power, so the given expression is<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28%283x-4%29%283-2x%29%29%5E%281%2F2%29%2F%284x%5E2-1%29%5E%281%2F2%29 ALIGN=MIDDLE  ALT=\"y=%28%283x-4%29%283-2x%29%29%5E%281%2F2%29%2F%284x%5E2-1%29%5E%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "When taking logarithms, the power comes out front as a multiplier; the log of the product is the sum of the logs; and the log of the quotient is the difference of the logs:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28y%29=%281%2F2%29%28log%28%283x-4%29%29%2Blog%28%283-2x%29%29%29-%281%2F2%29log%28%284x%5E2-1%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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