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3 years ago

3^4x+^2=9^x+^2. what is the value of x?

Mathematics

1 answer:

klemol [59]3 years ago

5 0

Answer:

x = 1

Step-by-step explanation:

3^(4x + 2) = 9^(x + 2)

Make 9 with base 3.

3^(4x + 2) = (3^2)^(x + 2)

3^(4x + 2) = 3^(2x + 4)

Cancel bases.

4x + 2 = 2x + 4

Subtract 2 and 2x on both sides.

4x - 2x = 4 - 2

2x = 2

Divide 2 on both sides.

x = 1

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3 years ago

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Dima020 [189]

Answer:

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Step-by-step explanation:

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3 years ago

A conical-shaped umbrella has a radius of 0.4 m and a height of 0.45 m. Calculate the amount of fabric needed to manufacture thi

GenaCL600 [577]

Answer:

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Step-by-step explanation:

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3 years ago

Apply the distributive property to produce an equivalent expression to 10+10g?

Zolol [24]

Answer:

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Step-by-step explanation:

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3 years ago

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mash [69]

When you have a scale factor as percentage, is better to convert that percentage into a fraction by divide it by 100%. That way, it will be much easier to scale your figures.

1. The scale factor we need to apply to our rectangle is 60%. Firts, lets convert our scale factor into a fraction: $\frac{60}{100} = \frac{3}{5}$ . Next, we just need to multiply each side of our rectangle by our fraction:
length= $16( \frac{3}{5})=9.6$
width= $8( \frac{3}{5} )=4.8$
So, our new rectangle will have a length of 9.6 units and a width of 4.8 units.

2. This time the scale factor is 120%. Just as before, lets convert it into a fraction: $\frac{120}{100} = \frac{6}{5}$ , and just as before lets multiply each side of our triangle by our fraction:
base= $10( \frac{6}{5} )=12$
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So, our new isosceles triangle will have a base of 12 units and tow sides of length 9.6 units each.

3. This time the scale factor is 150%. Just as before, lets convert it into a fraction: $\frac{150}{100} = \frac{3}{2}$ , and just as before lets multiply each side of our polygon by our fraction:
$12( \frac{3}{2} )=18$
$15( \frac{3}{2} )=22.5$
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side= $25( \frac{3}{4} )=18.75$
So, our new parallelogram will have tow sides of length 18.75 units.

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3 years ago

3^4x+^2=9^x+^2. what is the value of x?​

3^4x+^2=9^x+^2. what is the value of x?