SOLUTION: How do you solve: 3000=2000(1+.06)^t.

Question 22642: How do you solve: 3000=2000(1+.06)^t.
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!

Divide both sides by 2000:

In order to solve for t, where t is an exponent, you must take the ln of each side of the equation. It also works to take the log of each side--exactly the same answer!

This should bring back the laws of logarithms, in which the exponent becomes the coefficient:

Finally divide both sides by ln(1.06), and calculate with a calculator:
= 6.958515, which rounds off to about 6.96.

R^2 at SCC

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