document.write( "Question 130631: If the graph of \"f%28x%29=b%5Ex\" asses through the point (2,9), find f(4) \n" ); document.write( "
Algebra.Com's Answer #95401 by jim_thompson5910(35256)\"\" \"About 
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Since the graph passes through the point (2,9), this means that when x=2, then y=9. \r
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\n" ); document.write( "\n" ); document.write( "\"y=b%5Ex\" Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( "\"9=b%5E2\" Plug in x=2 and y=9. Notice how the only unknown left is b\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%289%29=sqrt%28b%5E2%29\" Take the square root of both sides to isolate b\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%289%29=b\" Take the square root of \"b%5E2\" to get b\r
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\n" ); document.write( "\n" ); document.write( "\"b=3\" Take the square root of 9 to get 3 \r
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\n" ); document.write( "\n" ); document.write( "So our equation becomes \r
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\n" ); document.write( "\n" ); document.write( "\"y=3%5Ex\"\r
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\n" ); document.write( "\n" ); document.write( "Now to evaluate f(4), simply plug in x=4\r
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\n" ); document.write( "\n" ); document.write( "\"y=3%5E4\" Plug in x=4\r
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\n" ); document.write( "\n" ); document.write( "\"y=81\" Evaluate 3 to the fourth power to get 81\r
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\n" ); document.write( "\n" ); document.write( "Since \"y\" is equivalent to f(x), this means that \"f%284%29=81\"
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