Answer:
t = 1.266
Step-by-step explanation:
given equation
[tex]362^{\dfrac{10t}{12}} = 500[/tex]
taking log both side in the above equation
[tex]\dfrac{10t}{12} ln (362) = ln (500)[/tex]
[tex]10 t (ln (362)) = 12 (ln (500))[/tex]
[tex]t = \dfrac{12 (ln (500))}{10(ln (362))}[/tex]
[tex]t = \dfrac{1.2 (ln (500))}{(ln (362))}[/tex]
t = 1.2 × 1.055
t = 1.266
hence, the answer of the solution is t = 1.266
