What is the solution to the equation? round your answer to two decimal places. 6•e^x=25

Mathematics

1 answer:

wolverine [178]3 years ago

7 0

Answer:

Step-by-step explanation:

Given

6 $e^{x}$ = 25 ( divide both sides by 6 )

$e^{x}$ = $\frac{25}{6}$

Take the ln of both sides

ln $e^{x}$ = ln ( $\frac{25}{6}$ ) , hence

x lne = ln ( $\frac{25}{6}$ ) ← note ln e = 1

x = ln ( $\frac{25}{6}$ ) ≈ 1.43 → A

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To answer, change the 6 into a fraction

6 x 6/6 = 36/6