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natima [27]
4 years ago
6

What is the solution to log5(10x-1)=log5(9x=7)

Mathematics
1 answer:
zepelin [54]4 years ago
4 0

Domain:\\\\10x-1 > 0\ and\ 9x+7 > 0\\\\10x > 1\ and\ 9x > -7\\\\x > \dfrac{1}{10}\ and\ x > -\dfrac{7}{9}\Rightarrow x > \dfrac{1}{10}\\\\D=\left\{x|x > \dfrac{1}{10}\right\}\\\\\log_5(10x-1)=\log_5(9x+7)\iff10x-1=9x+7\qquad\text{add 1 to both sides}\\\\10x=9x+8\qquad\text{subtract 9x from both sides}\\\\x=8\in D\\\\Answer:\ \boxed{x=8}

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y = 4x+48

Step-by-step explanation:

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4 years ago
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yan [13]

Answer:

  138.16 in²

Step-by-step explanation:

The surface area SA of the cone is the sum of the base area B and the lateral area LA. The lateral area is half the product of the circumference and the slant height. The radius is half the diameter, so is 4 inches.

  SA = B + LA

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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<em>Thus, the expression is proven correct. Now, let's find n + 6 when n is 28.</em>

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Thus, the missing value in the table is 34.

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