SOLUTION: If h(x)=a*b^x, h(0)=5, and h(1)=15, find the particular equation for this exponential function. I really don't understand what this question is asking.

SOLUTION: If h(x)=a*b^x, h(0)=5, and h(1)=15, find the particular equation for this exponential function. I really don't understand what this question is asking.

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Question 147848: If h(x)=a*b^x, h(0)=5, and h(1)=15, find the particular equation for this exponential function. I really don't understand what this question is asking.
Answer by nabla(475) (Show Source): You can put this solution on YOUR website!
If h(0)=5, a must be 5. This is because b^0=1.
Now, we have h(x)=5b^x.
but h(1)=15, so
15=5b
and b=3
Thus, we have:
h(x)=5(3)^x
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