document.write( "Question 1084309: 1 + log3 5 \n" ); document.write( "
Algebra.Com's Answer #698410 by Theo(13342)\"\" \"About 
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1 + log3(5) is equivalent to 1 + log(5)/log(3)\r
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\n" ); document.write( "\n" ); document.write( "you can use your calculator to see that the result is 2.464973521\r
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\n" ); document.write( "\n" ); document.write( "the major concept used was:\r
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\n" ); document.write( "\n" ); document.write( "loga(x) = logb(x)/logb(a)\r
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\n" ); document.write( "\n" ); document.write( "this translates to log(x) to the base of a is equal to log(x) to the base of b divided by log(a)to the base of b.\r
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\n" ); document.write( "\n" ); document.write( "that's the log base conversion formula that is widely used to convert any non-standard log base that can't be solved by the calculator to a base that can be used by the calculator.\r
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\n" ); document.write( "\n" ); document.write( "those bases are the base of 10 which is the LOG function of the calculator, and the base of e which is the LN function of the calculator.\r
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\n" ); document.write( "\n" ); document.write( "you can convert to either one and get the same answer.\r
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\n" ); document.write( "\n" ); document.write( "example:\r
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\n" ); document.write( "\n" ); document.write( "1 + log3(5) = 1 + log(5)/log(3) = 2.464973521\r
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\n" ); document.write( "\n" ); document.write( "1 + log3(5) = 1 + ln(5)/ln(3) = 2.464973521\r
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