The function h(t)=6+3ln(t+1) is a logarithmic function
The height of the tree will exceed 18 feet after 53.6 years
The function is given as:
h(t)=6+3ln(t+1)
When the height is 18 feet, we have:
6+3ln(t+1) = 18
Subtract 6 from both sides
3ln(t+1) = 12
Divide both sides by 3
ln(t+1) = 4
Take the exponent of both sides
t + 1 = e^4
Evaluate the exponent
t + 1 = 54.6
Subtract 1 from both sides
t = 53.6
This means that the height of the tree will exceed 18 feet after 53.6 years
Read more about logarithmic functions at:
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