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lianna [129]
3 years ago
13

Which logarithmic equation is equivalent to the exponential equation below? 67.21=e^a

Mathematics
2 answers:
klio [65]3 years ago
6 0

Answer: in 67.21=a


Step-by-step explanation:


Ipatiy [6.2K]3 years ago
5 0

67.21=e^a\qquad \ln\text{of both sides}\\\\\ln67.21=\ln e^a\qquad\text{use}\ \log_aa^n=n\\\\\ln67.21=a\\\\\boxed{a=\ln67.21}

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for an experiment you need to dissolve 0.05 moles of NaCl in one liter of water. how much NaCl must you weigh out?
Stels [109]

Answer:

you must weight out 8.2 g


3 0
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Please help!!! I will mark best answer!
Kisachek [45]

Answer:

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Step-by-step explanation:

7 0
3 years ago
What is the equation of the line that passes through (-3,-1 ) and has a slope of 3/5
vfiekz [6]

The point-slope form:

y-y_1=m(x-x_1)

We have the point (-3, -1) and the slope m = 3/5. Substitute:

y-(-1)=\dfrac{3}{5}(x-(-3))\\\\y+1=\dfrac{3}{5}(x+3)\qquad\text{use distributive property}\\\\y+1=\dfrac{3}{5}x+\dfrac{9}{5}\qqua\text{subtract 1 from both sides}\\\\y=\dfrac{3}{5}x+\dfrac{4}{5}\qquad\text{multiply both sides by 5}\\\\5y=3x+4\qquad\text{subtract 3x from both sides}\\\\-3x+5y=4\qquad\text{change the signs}\\\\3x-5y=-4

Answer:

point-slope form: y + 1 = 3/5(x + 3)

slope-intercept form: y = 3/5x + 4/5

standard form: 3x - 5y = -4

7 0
3 years ago
If y varies directly as x and y = 3 when x = - 9, then find x when y = 5.
Rus_ich [418]

Answer:

d. - 15

Step-by-step explanation:

The equation for direct variation is

y = kx

We know y =3 when x = -9

3 = k(-9)

Divide by -9

3/-9 = -9k/-9

-1/3 = k

The equation is then

y = -1/3 x

We know y = 5

5 = -1/3 x

Multiply each side by -3

-3*5 = -3*-1/3x

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3 0
3 years ago
Please explain the answer! Will give brainliest :)
SpyIntel [72]

We can see that the diagonal distance from the fire pit to the tree is 6 units, if you count, with a slope of 1, meaning that we only have to stay on that diagonal.

A third of 6 is 2, so we'll just go 2 units in that diagonal, putting us at the point (4,3).

Hope this helps.

頑張って!

5 0
3 years ago
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