document.write( "Question 379554: Not sure if this is in the right section, but hoping for some help. I have this question on my practice sheet for a final coming up, it says...\r
\n" ); document.write( "\n" ); document.write( "Suppose that f(x) is exponential and that f(-3)=54 and f(2)=2/9. Find a formula for f(x).\r
\n" ); document.write( "\n" ); document.write( "I don't even know what this means!! It says it's exponential, does that mean it's an exponential function and I should assume f(x)=ab^x? Isn't that a formula itself? I'm not sure what to do here or how to even start on this. Is my math teacher just wording this poorly or am I lost? Help! :)
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Algebra.Com's Answer #269550 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
Yes, an exponential function has the form, \"y=ab%5Ex\"
\n" ); document.write( "Use both points.
\n" ); document.write( "\"f%28-3%29=54\"
\n" ); document.write( "1.\"54=ab%5E%28-3%29\"
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\n" ); document.write( "\"f%282%29=2%2F9\"
\n" ); document.write( "2.\"2%2F9=ab%5E%282%29\"
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\n" ); document.write( "Divide eq. 2 by eq. 1 to eliminate \"a\".
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\n" ); document.write( "\"%282%2F9%29%2F54=%28ab%5E2%29%2F%28ab%5E%28-3%29%29\"
\n" ); document.write( "\"b%5E5=1%2F243\"
\n" ); document.write( "\"highlight%28b=1%2F3%29\"
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\n" ); document.write( "Then use either equation to solve for \"a\".
\n" ); document.write( "\"2%2F9=a%281%2F3%29%5E2\"
\n" ); document.write( "\"2%2F9=a%2F9\"
\n" ); document.write( "\"highlight%28a=2%29\"
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\n" ); document.write( "\"highlight_green%28y=2%281%2F3%29%5Ex%29\"
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