(Solved): Many graphing calculators can fit a logarithmic function \( f(x)=a+b \ln x \) to data. The table sh ...

Many graphing calculators can fit a logarithmic function \( f(x)=a+b \ln x \) to data. The table shows the time required for a \( \$ 10,000 \) investment to reach different values in a partiçiar bank account. (d) Use a graphing calculator to find a logarithmic model for the data. (Round your answer to two decimal places.) \[ r(v)= \] (b) Use the model to estimate how long it will take for the account to reach \( \$ 22,000 \) in vaiue. (Round your answer to one decimat place.) \( x \) years