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Jlenok [28]
3 years ago
10

What is the values of x if g^x-1 -2=25

Mathematics
2 answers:
Aneli [31]3 years ago
6 0

9^(x - 1) - 2 = 25

9^(x - 1) = 27

ln[9^(x - 1)] = ln 27

ln9(x - 1) = ln 27

xln9 - ln9 = ln 27

xln9 = [ln 27 + ln 9]

x = [ln 27 + ln 9]/ln 9

x = 5/2

svp [43]3 years ago
5 0

Answer:

Step-by-step explanation:

here is a simpler solution :

27=3^3   and 9=3^2

9^(x-1) =27

(3^2)^(x-1) = 3^3

3^(2x-2) = 3^3

2x-2 =3

2x =5

so: x=5/2

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Arectangularplotoflandistobefencedinusingtwokinds of fencing. Two opposite sides will use heavy-duty fencing selling for $3 a fo
svlad2 [7]

Answer:

Dimensions of the rectangular plot will be 500 ft by 750 ft.

Step-by-step explanation:

Let the length of the rectangular plot = x ft.

and the width of the plot = y ft.

Cost to fence the length at the cost $3.00 per feet = 3x

Cost to fence the width of the cost $2.00 per feet = 2y

Total cost to fence all sides of rectangular plot = 2(3x + 2y)

2(3x + 2y) = 6,000

3x + 2y = 3,000 ----------(1)

3x + 2y = 3000

      2y = 3000 - 3x

      y = \frac{1}{2}[3000-3x]

      y = 1500 - \frac{3x}{2}

Now area of the rectangle A = xy square feet

A = x[1500-\frac{3x}{2}]

For maximum area \frac{dA}{dx}=0

A' = \frac{d}{dx}(1500x-\frac{3}{2}x^{2}) = 0

1500 - 3x = 0

3x = 1500

x = 500 ft

From equation (1),

y = 1500 - \frac{3}{2}\times 500

y = 1500 - 750

y = 750 ft

Therefore, for the maximum area of the rectangular plot will be 500 ft × 750 ft.

two fencing 3(500+500) = $3000

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Answer:

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Step-by-step explanation:

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