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Aleksandr-060686 [28]
3 years ago
15

" title="{x}^{ log_{3}(x) } = 81 {x}^{3} " alt="{x}^{ log_{3}(x) } = 81 {x}^{3} " align="absmiddle" class="latex-formula">
can you solve by algebraically, not graphing and provide step by step explanation, please?​
Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
3 0

Answer:

x=81 or 1/3

Step-by-step explanation:

x^\log_3(x)} =81x^3\\\log_3(x^{\log_3(x)})=\log_3(81x^3)\\\(\log_3x)(\log_3x)=\log_381+\log_3x^3\\(\log_3x)^2=3\log_3x^+4\\\\Let u=\log_3x\\\\u^2-3u-4=0\\(u-4)(u+1)=0\\u=4 \\4=\log_3x\\x=3^4=81\\\\u=-1\\-1=\log_3x\\x=3^{-1}=1/3

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Ryder Industries is considering a project that will produce cash inflows of $92,000 a year for five years. What is the internal
RSB [31]

Answer:

20.02%

Step-by-step explanation:

Formula : NVP = 0 =-P_0 + \frac{P_1}{(1+IRR)} + \frac{P_2}{(1+IRR)^2} + . . . +\frac{P_n}{(1+IRR)^n}

P_0 = 275000

n = 1,2,3,4,5

Substitute the values in the formula :

0 =-275000 + \frac{92000}{(1+IRR)} + \frac{92000}{(1+IRR)^2} + \frac{92000}{(1+IRR)^3}+\frac{92000}{(1+IRR)^4}+\frac{92000}{(1+IRR)^5}

275000 = \frac{92000}{(1+IRR)} + \frac{92000}{(1+IRR)^2} + \frac{92000}{(1+IRR)^3}+\frac{92000}{(1+IRR)^4}+\frac{92000}{(1+IRR)^5}

Solving for IRR using calculator

IRR = 20.02

Hence the internal rate of return if the initial cost of the project is $275,000 is 20.02%

4 0
3 years ago
2/3 + 5/6 in the simplest form
asambeis [7]
Here is your answer:

2×2=4
3×2=6
+
5×1=5
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4+5=9

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6 0
3 years ago
The length of the rectangular garden is 4 meters longer than the width. If the garden area is 60 square
rusak2 [61]

Step-by-step explanation:

Let x be the Width, and x+4 be the Length of the rectangle ; =>

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x^2 +4x - 60 = 0 ; Now solve the Quadratic equation using factoring to find x;

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5 0
3 years ago
HELP PLEASE!!!!!!!!!!!!!!
Genrish500 [490]

Answer:

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Step-by-step explanation:

16b > 94

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6 0
2 years ago
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7 0
3 years ago
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