document.write( "Question 596172: Solve 8^(x+8) = 32^x
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document.write( "The lesson this is found is called Exponential and Logarithmic Equations
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document.write( "I am looking for more of the steps on how to complete rather then the answer but both would be great. Thanks for your help \r
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document.write( "The steps I have tried are
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document.write( "8 ^(x+8) = 32^x ( Original Problem)\r
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document.write( "log 8^(x+8)= log 32^x
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document.write( "(x+8) log 8 = x log 32\r
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document.write( "(log8)x +8log8 = (log 32)x\r
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document.write( "8log8 = x log 32- x log 8\r
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document.write( " 8log8 = x log 24 \n" );
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Algebra.Com's Answer #377563 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! The steps I have tried are \n" ); document.write( "8 ^(x+8) = 32^x ( Original Problem) \n" ); document.write( "log 8^(x+8)= log 32^x\r \n" ); document.write( "\n" ); document.write( "(x+8) log 8 = x log 32 \n" ); document.write( "(log8)x + 8log8 = (log 32)x \n" ); document.write( "8log8 = x log 32- x log 8 \n" ); document.write( "8log8 = x log 24 ********* That's not right \n" ); document.write( "--------------------------- \n" ); document.write( "8log8 = x log 32- x log 8 \n" ); document.write( "8log8 = x*(log 32 - log 8) \n" ); document.write( "8lob(8) = x*log(4) Subtracting logs is division \n" ); document.write( "x = 8log(8)/log(4) \n" ); document.write( "x = 12 \n" ); document.write( "----------------- \n" ); document.write( "A better way: \n" ); document.write( "8 ^(x+8) = 32^x \n" ); document.write( "8 = 2^3 and 32 = 2^5 \n" ); document.write( " \n" ); document.write( "3x+24 = 5x \n" ); document.write( "2x + 24 \n" ); document.write( "x = 12 \n" ); document.write( " \n" ); document.write( " |