SOLUTION: How do you find the intercept of two exponential functions? y=1000*2^(0.1x) y=16000*2^(-1/6x)

Algebra ->  Exponents -> SOLUTION: How do you find the intercept of two exponential functions? y=1000*2^(0.1x) y=16000*2^(-1/6x)      Log On


   

Question 638662: How do you find the intercept of two exponential functions?
y=1000*2^(0.1x)
y=16000*2^(-1/6x)
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
How do you find the intercept of two exponential functions?
y=1000*2^(0.1x)
y=16000*2^(-1/6x)
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The both equal y
1000*2^(0.1x) = 16000*2^(-1/6x)
2%5E%280.1x%29+=+16%2A2%5E%28-1%2F6x%29
If the exponent is (-1/6)x:
Multiply by 2%5E%28-x%2F6%29
2%5E%282x%2F15%29+=+16
16 = 2^4
2x/15 = 4
x = 30