Question 638662
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^(0.1x) = 16*2^(-1/6x)}}}
If the exponent is (-1/6)x:
Multiply by {{{2^(-x/6)}}}
{{{2^(2x/15) = 16}}}
16 = 2^4
2x/15 = 4
x = 30