document.write( "Question 1113133: Show that log base a (a^2 - x^2) = 2 + log base a (1 - x^2/a^2) \n" ); document.write( "
Algebra.Com's Answer #853961 by MathTherapy(10801)\"\" \"About 
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document.write( "Show that log base a (a^2 - x^2) = 2 + log base a (1 - x^2/a^2)\r\n" );
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document.write( "\"log+%28a%2C+%28a%5E2+-+x%5E2%29%29+=+2+%2B+log+%28a%2C+%281+-+x%5E2%2Fa%5E2%29%29\"\r\n" );
document.write( "Let's focus on the R.H.S\r\n" );
document.write( " ---- Converting 2 to \"log+%28a%2C+%28a%5E2%29%29\"\r\n" );
document.write( "\"log+%28a%2C+%28a%5E2+-+x%5E2%29%29+=+log+%28a%2C+a%5E2%281+-+x%5E2%2Fa%5E2%29%29\" --- Applying \"log+%28b%2C+%28c%29%29+%2B+log+%28b%2C+%28%28d%29%29%29\" = \"log+%28b%2C+%28c%2Ad%29%29\"\r\n" );
document.write( "\"log+%28a%2C+%28a%5E2+-+x%5E2%29%29+=+log+%28a%2C+%28a%5E2+-+x%5E2%29%29\" ---- Distributing on R.H.S.\r\n" );
document.write( "              L.H.S. = R.H.S.
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