9=ln(x+7) | Solve for x

Answers

Answer 1
Answer: remember that ln=log_(e)
and

log_(a)x=y means a^y=x
convert
ln(x+7)=9 means
e^(9)=x+7
minus 7 from both sides
e^9-7=x
use calculator to evaluate
8096.08=x aprox

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When e = 4, f = 2, and g = 8. If e varies jointly with f and g, what is the constant of variation?

Answers

Answer:

The\ constant\ of\ variation\ is\ (1)/(4).

Step-by-step explanation:

As given in the question

If e varies jointly with f and g.

i.e

e \propto fg

e = kfg

Where k is the constant of variation.

As

When e = 4, f = 2, and g = 8

Put in the above

4 = k × 2 × 8

4 = 16k

k = (4)/(16)

k = (1)/(4)

Therefore\ the\ constant\ of\ variation\ is\ (1)/(4).


in joint variation, the equation of variation holds the form 

e=k*fg, where k is the constant of variation. you can see how if either f or g increases, e increases as well, making e vary jointly with f and g. we are given the numbers e=4, f=2, and g=8, so when we input those into the general equations, 

4=k*2*8,
k=1/4

Please help Evaluate the function when x=4

Blue- f(4) = 2(4) - 5 = 3

Teal- f(4) = 4

Yellow- f(4) = 1/2(4) + 1 = 3

Red- f(4) = 2(4) - 5 = -1

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