Question

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

b. 362(10t/12)=500

Answer 1

t = 1.266

Explanation:

given equation

`362^{(10t)/(12)} = 500`

taking log both side in the above equation

`(10t)/(12) ln (362) = ln (500)`

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

`t = (12 (ln (500)))/(10(ln (362)))`

`t = (1.2 (ln (500)))/((ln (362)))`

t = 1.2 × 1.055

t = 1.266

hence, the answer of the solution is t = 1.266