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dsp73
2 years ago
11

If 3 to the power of x+1 = 81 and 81 to the power of x-y = 3 then what is the value of x and y?

Mathematics
1 answer:
fgiga [73]2 years ago
4 0
From 1st condition:

3^(x+1)=81
Take log on both sides,
➡ log [3^(x+1)]=log81
Use the property: log(x^a)=a logx
➡ (x+1) log 3=log(3⁴)
➡ (x+1) log 3=4×log 3
➡ (x+1)=4 (log 3 /log 3)
➡ x+1=4
➡ x=3➡↪➡↪ ANS

From 2nd condition, (Same process are repeated)

81^(x-y)=3
➡ 3^4(x-y)=3
➡ log [3^4(3-y)]=log 3
➡ 4(3-y) log 3=log 3
➡ (3-y)=(log 3)/(4log 3)
➡ 3-y=(1/4)
➡ y=11/4 ➡↪➡↪ ANS
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3 years ago
If a woman get 7000 dollars for every 3 hour how much will she make for 81 hours
vovikov84 [41]

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Step-by-step explanation:

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2 years ago
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Adding and subtracting functions g(x) = 2x f (x) = −2x^3 + 2x Find g(x) + f (x)​
Andrei [34K]

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-2x³+4x

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3 years ago
Collin Buys a TV for £720 depreciate at a rate of 4% per year how much will it be worth in three years
belka [17]

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Step-by-step explanation:

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The given parameters of the TV are;

The amount at which Collin buys the TV, P = £720

The rate at which the TV depreciates at, R = 4%

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The amount the TV is worth after three years, 'A', is given as follows;

A = P \cdot \left(1 + \dfrac{R}{100} \right )^T

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