SOLUTION: Find the solution of the exponential equation 1000(1.05)^(2t)=5,000 in terms of logarithms, or correct to four decimal places. Find T?

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Find the solution of the exponential equation 1000(1.05)^(2t)=5,000 in terms of logarithms, or correct to four decimal places. Find T?      Log On


   

Question 1149070: Find the solution of the exponential equation
1000(1.05)^(2t)=5,000
in terms of logarithms, or correct to four decimal places.
Find T?
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


1000%281.05%29%5E%282t%29=5000
%281.05%29%5E%282t%29+=+5

The variable is in the exponent; take logs of both sides.

%282t%29%2Alog%28%281.05%29%29+=+log%28%285%29%29

Use basic algebra to solve for t.

Use a calculator if you want a decimal answer.