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FrozenT [24]
3 years ago
13

Please help and thank you!!

Mathematics
1 answer:
Maurinko [17]3 years ago
5 0

Here we have to use the fact that the domain of the function is equal to the range of the inverse function and range of the function is equal to the domain of the inverse function .

Here the domain of the function is given. It means, the range of the function is same .

SO the correct option is the third option .

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27^x = 9^x − 4 Question 1 options: x = 8 x = 4 x = −4 x = −8
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Answer:

x = -8

Step-by-step explanation:

Given the equation:

27^x=9^{x-4}

Note that

27=3^3\\ \\9=3^2,

then

27^x=(3^3)^x=3^{3x}\\ \\9^{x-4}=(3^2)^{x-4}=3^{2(x-4)}

Rewrite the equation as

3^{3x}=3^{2(x-4)},

then

3x=2(x-4)\\ \\3x=2x-8\\ \\3x-2x=-8\\ \\x=-8

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3 years ago
−
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