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3 years ago

Solve for x: 2eˣ - 7 = 21

Mathematics

1 answer:

zepelin [54]3 years ago

3 0

2eˣ - 7 = 21

2eˣ = 28

eˣ = 14 How do we isolate for x now? Well we know that aˣ=b can be converted to $x=log_{a}(b)$ .

x = $log_{e}(14)$ A shorthand for "log base e" is the natural log (ln).

x = ln(14)

x = 2.64 approx.

Exact answer: ln(14)

Approximation: 2.64

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A map is made of a park. The scale from the park to the map is 36 mi to 6 cm. The length of great oaks trail is 4.5 cm on this m

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Step-by-step explanation:

We have the data from two different maps of the same park.

In the first map the length of great oaks trail is 4.5 cm

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We can find the real length of great oaks trail writing the following equivalence :

$\frac{36mi}{6cm}=\frac{x}{4.5cm}$

Where x is the real length of great oaks trail ⇒

$x=\frac{(36mi).(4.5cm)}{6cm}=27mi$

We find that the real length of great oaks trail is 27 mi

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The scale from the park in the second map is 24 mi to 3 cm.

Again we can find the real length of salamander trail writing the equivalence :

$\frac{24mi}{3cm}=\frac{y}{3.5cm}$

Where y is the real length of salamander trail ⇒

$y=\frac{(24mi).(3.5cm)}{3cm}=28mi$

We find that the real length of salamander trail is 28 mi.

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