document.write( "Question 638662: How do you find the intercept of two exponential functions?
\n" ); document.write( "y=1000*2^(0.1x)
\n" ); document.write( "y=16000*2^(-1/6x)
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Algebra.Com's Answer #402337 by Alan3354(69443)\"\" \"About 
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How do you find the intercept of two exponential functions?
\n" ); document.write( "y=1000*2^(0.1x)
\n" ); document.write( "y=16000*2^(-1/6x)
\n" ); document.write( "-----------
\n" ); document.write( "The both equal y
\n" ); document.write( "1000*2^(0.1x) = 16000*2^(-1/6x)
\n" ); document.write( "\"2%5E%280.1x%29+=+16%2A2%5E%28-1%2F6x%29\"
\n" ); document.write( "If the exponent is (-1/6)x:
\n" ); document.write( "Multiply by \"2%5E%28-x%2F6%29\"
\n" ); document.write( "\"2%5E%282x%2F15%29+=+16\"
\n" ); document.write( "16 = 2^4
\n" ); document.write( "2x/15 = 4
\n" ); document.write( "x = 30
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