Question

92. Solve each equation. Express your answer as a logarithm, and then approximate the solution to the nearest thousandth.

Answer 1

Answer:

t = 1.266

Step-by-step explanation:

given equation

$362^{\dfrac{10t}{12}} = 500$

taking log both side in the above equation

$\dfrac{10t}{12} ln (362) = ln (500)$

$10 t (ln (362)) = 12 (ln (500))$

$t = \dfrac{12 (ln (500))}{10(ln (362))}$

$t = \dfrac{1.2 (ln (500))}{(ln (362))}$

t = 1.2 × 1.055

t = 1.266

hence, the answer of the solution is t = 1.266