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olga2289 [7]
2 years ago
10

3(2^x) = 6^2x How do you solve this?

Mathematics
1 answer:
iragen [17]2 years ago
7 0
3(2^x)=6^{2x}
3(2^x)=(3\times2)^{2x}
3(2^x)=3^{2x}2^{2x}
\ln(3(2^x))=\ln(3^{2x}2^{2x})
\ln3+\ln2^x=\ln3^{2x}+\ln2^{2x}
\ln3+x\ln2=2x\ln3+2x\ln2
\ln3=2x\ln3+2x\ln2-x\ln2
\ln3=x(2\ln3+\ln2)
x=\dfrac{\ln3}{2\ln3+\ln2}
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weqwewe [10]

Answer:

ln(2) + 3ln(a) - 4ln (b)

Step-by-step explanation:

ln(2a^3 /b^4)

We know that ln(x/y) = ln (x) - ln y

ln(2a^3 ) - ln (b^4)

We know that ln (xy) = ln x + ln y

ln(2) + ln(a^3 ) - ln (b^4)

We know that ln(x^y) = y ln (x)

ln(2) + 3ln(a) - 4ln (b)

8 0
3 years ago
Please help me with my math please.?
Lady_Fox [76]

Answer:

x = 6, y = 0, m = -1
y = mx + b
0 = -1(6) + b
0 = -6 + b
6 = b
y = -1x + (6)

Step-by-step explanation:

^^^
See answer, pretty simple.

4 0
1 year ago
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Identify the function as either a constant, direct variation, absolute value or greatest integer function f (x)=-4
boyakko [2]
Answer: Constant

No matter what the input x is, the output f(x) is going to be -4. Therefore, the output is constant. 

Note: f(x) can be interchanged with y. So we can say y = -4.
7 0
3 years ago
Please answer immediately
Readme [11.4K]

Answer:

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8 0
3 years ago
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Please I need help!
Monica [59]

Answer:

1)

\text{ Slope = -3}

2)

y+4=-\frac{7}{8}(x-7)

3)

y=-\frac{7}{8}x+\frac{17}{8}

Step-by-step explanation:

We want to write the equation of the line that passes through the points (7, -4) and (-1, 3) first in point-slope form and then in slope-intercept form.

1)

First and foremost, we will need to find the slope of the line. So, we can use the slope-formula:

m=\frac{y_2-y_1}{x_2-x_1}

Let (7, -4) be (x₁, y₁) and let (-1, 3) be (x₂, y₂). Substitute them into our slope formula. This yields:

m=\frac{3-(-4)}{-1-7}

Subtract. So, our slope is:

m=\frac{7}{-8}=-7/8

2)

Now, let's use the point-slope form:

y-y_1=m(x-x_1)

We will substitute -7/8 for our slope m. We will also use the point (7, -4) and this will be our (x₁, y₁). So, substituting these values yield:

y-(-4)=-\frac{7}{8}(x-7)

Simplify. So, our point-slope equation is:

y+4=-\frac{7}{8}(x-7)

3)

Finally, we want to convert this into slope-intercept form. So, let's solve for our y.

On the right, distribute:

y+4=-\frac{7}{8}x+\frac{49}{8}

Subtract 4 from both sides. Note that we can write 4 using a common denominator of 8, so 4 is 32/8. This yields:

y=-\frac{7}{8}x+\frac{49}{8}-\frac{32}{8}

Subtract. So, our slope-intercept equation is:

y=-\frac{7}{8}x+\frac{17}{8}

And we're done!

7 0
3 years ago
Read 2 more answers
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