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Tema [17]
4 years ago
7

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

Mathematics
1 answer:
quester [9]4 years ago
8 0

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

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