The value of T after applying logarithm to evaluate the function is 4.9988
Given the expression
[tex]644 204=400 000 (1+10 \%)^T[/tex]
Since 10% = 0.1, the expression becomes;
[tex]644 204=400 000 (1+0.1)^T\\644 204=400 000 (1.1)^T\\\frac{644204}{400000} =1.1^T\\1.61051=1.1^T[/tex]
Take the logarithm of both sides
[tex]log1.61051=log1.1^T\\log1.61051=Tlog1.1\\Swap\\Tlog1.1=log1.61051\\T=\frac{log1.61051}{log1.1}\\T=\frac{0.2069}{0.04139} \\T=4.9988[/tex]
The value of T after applying logarithm to evaluate the function is 4.9988
Learn more on logarithm here: https://brainly.com/question/11582285
