document.write( "Question 130628: Solve for x: \"4%2B3%2Alog%282%2C%28x%29%29=7\" \n" ); document.write( "
Algebra.Com's Answer #95397 by jim_thompson5910(35256)\"\" \"About 
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\"4%2B3%2Alog%282%2C%28x%29%29=7\" Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( "\"4%2Blog%282%2C%28x%5E3%29%29=7\" Rewrite the expression using the identity \"log%28b%2C%28x%5Ey%29%29=y%2Alog%28b%2C%28x%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"log%282%2C%28x%5E3%29%29=3\" Subtract 4 from both sides\r
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\n" ); document.write( "\n" ); document.write( "\"2%5E3=x%5E3\" Rewrite the equation using the property: \"log%28b%2C%28x%29%29=y\" ====> \"b%5Ey=x\"\r
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\n" ); document.write( "\n" ); document.write( "\"8=x%5E3\" Evaluate \"2%5E3\" to get \"8\"\r
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\n" ); document.write( "\n" ); document.write( "\"root%283%2C8%29=x\" Take the cube root of both sides\r
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\n" ); document.write( "\n" ); document.write( "\"2=x\" Take the cube root of 8 to get 2\r
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\n" ); document.write( "\n" ); document.write( "So our answer is \"x=2\"
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