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3 years ago

3/4log7(625)+2log7(x)=2 solve for x

1 answer:

7 0

Simplifies to:
1.690196x+396.139706=2

Let's solve your equation step-by-step.
1.690196x+396.139706=2

Step 1: Subtract 396.139706 from both sides.

1.690196x+396.139706-396.139706=2-396.139706

1.690196x=-394.139706

Step 2: Divide both sides by 1.690196.
1.690196x/1.690196 -394.139706/1.690196

x= -233.191716
Answer: x= -233.191716

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3 years ago

Greg runs 3 miles in 28 minutes. At the same rate, how many miles would he run in 42 minutes?

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Answer:

4.5

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Step-by-step explanation:

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2 years ago

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<img src="https://tex.z-dn.net/?f=if%20%5C%3A%20%28%20%5Cfrac%7B3%7D%7B4%7D%20%29%5E%7B6%7D%20%20%5Ctimes%20%28%20%5Cfrac%7B16%7

zhenek [66]

Answer:

Step-by-step explanation:

$(\frac{3}{4})^6 \times (\frac{16}{9})^5=(\frac{4}{3})^{x+2}$

$\frac{3^6}{4^6} \cdot \frac{16^5}{9^5}=\frac{4^{x+2}}{3^{x+2}}$

$\frac{3^6}{4^6} \cdot \frac{(4^2)^5}{(3^2)^5}=\frac{4^{x+2}}{3^{x+2}}$

$\frac{3^6}{4^6} \cdot \frac{4^{10}}{3^{10}}=\frac{4^{x+2}}{3^{x+2}}$

$\frac{3^6}{3^{10}} \cdot \frac{4^{10}}{4^6}=\frac{4^{x+2}}{3^{x+2}}$

$3^{-4} \cdot 4^{4}=4^{x+2}3^{-(x+2)}$

This implies

x+2=4

and

-(x+2)=-4.

x+2=4 implies x=2 since subtract 2 on both sides gives us x=2.

Solving -(x+2)=-4 should give us the same value.

Multiply both sides by -1:

x+2=4

It is the same equation as the other.

You will get x=2 either way.

Let's check:

$(\frac{3}{4})^6 \times (\frac{16}{9})^5=(\frac{4}{3})^{2+2}$

$(\frac{3}{4})^6 \times (\frac{16}{9})^5=(\frac{4}{3})^{4}$

Put both sides into your calculator and see if you get the same thing on both sides:

Left hand side gives 256/81.

Right hand side gives 256/81.

Both side are indeed the same for x=2.

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3 years ago

The distance from Earth to Mars is 136,000,000 miles. A spaceship travels at 31,000 miles per

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