document.write( "Question 1009779: Write an exponential function such that f(-2) = 25 and f(1) = 8/5. \n" ); document.write( "

Algebra.Com's Answer #625282 by josgarithmetic(39617) $\"\"$ $\"About$

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$\"f%28x%29=ab%5Ex\"$ can be the form of the exponential function.
\n" ); document.write( "Two points are (-2,25) and (1, 8/5).\r
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\n" ); document.write( "\n" ); document.write( "Take logarithms of both sides, base of your choice, and you will have a linear equation. You would need to make an adjustment to the vertical axis component of your given points.\r
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\n" ); document.write( "\n" ); document.write( "You'll need to change the data points to (-2, $\"log%28%2825%29%29\"$ ) and (1, $\"log%28%288%2F5%29%29\"$ ), for whatever base you choose.\r
\n" ); document.write( "\n" ); document.write( "If chosen to take logs base 10, then you will have your LINEARIZED points as (-2, 1.39794) and (1, 0.20412).\r
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\n" ); document.write( "\n" ); document.write( "The rest of the solution process relies on both linear equation skills and logarithm, exponential expression skills and concepts.\r
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\n" ); document.write( "\n" ); document.write( "You should find $\"highlight%28f%28x%29=4%280.4%29%5Ex%29\"$ or if desired, $\"highlight%28f%28x%29=4%282%2F5%29%5Ex%29\"$ . \n" ); document.write( "

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