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iogann1982 [59]
3 years ago
9

Solve the equation (2^2x)/( 2^x+5) = 1 algebraically using two different initial steps as directed below.

Mathematics
1 answer:
NikAS [45]3 years ago
7 0

Answer:

x = 5

Step-by-step explanation:

Given equation as:

\frac{2^2x}{2^{x+5}} = 1

now,

writing each side as power of 2

2⁰ = 1

therefore,

\frac{2^2x}{2^{x+5}} = 2⁰

also, we know the property that , when the number having the same bases gets divided , the powers of the number gets subtracted

therefore,

2^{2x-(x+5)}  = 2⁰

now for the equality the power of 2 both sides should be equal

thus,

⇒ 2x-(x+5) = 0

or

⇒ 2x = x + 5

or

⇒ 2x - x = 5

or

⇒ x = 5

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mart [117]


Let's solve for x --

Isn't it always a little easier to solve a math problem with starting by rewriting the equation?

3/8x + 15/2 = 8

Step 1) Subtract 15/2 from both sides

3/8x + 15/2 - 15/2 = 8 - 15/2

3/8x = 1/2

Step 2) Multiply both sides by 8/3

(8/3) × (3/8x) = (8/3) × (1/2)

x = 4/3

FINAL ANSWER -

x = 4/3

↑   ↑   ↑  Hope this helps! :D

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3 years ago
CDuc has a trapezoid shaped section of his yard fenced off for his pets. The lengths of the parallel sides of the trapezoid are
GarryVolchara [31]
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A team won 6 hockey matches and lost 9 matches. what per cent of the matches did the team win​
Mama L [17]

Answer:

66.67%

Step-by-step explanation:

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= 66.67%

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2 years ago
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Find the sum of 2x+1 and 5x
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Hey!

This could be rewritten as:

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Alice's grandfather is showing Alice his apple
Amanda [17]

There are  156 rows of trees altogether.

<u>Step-by-step explanation:</u>

Given that for every 11 rows of Red delicious , they plant 3 rows of Royal Gala.

Thus for 1 row of Royal Gala there would be 11/3 rows of Red delicious.

Number of rows of Royal Gala=18

corresponding\ number\ of\ Red\ delicious\ = 11/3 \times 18=11\times 6=66

For 11 rows of red delicious,they plant 7 rows of yellow delicious.

Thus for 1 row of Red delicious,there would be 7/11 rows of yellow delicious.

For 66 rows of red delicious there would be

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For 11 rows of red delicious,they would plant

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Total rows of trees=66+42+30+18=156

8 0
3 years ago
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