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3 years ago

15

The value x = 3 is a solution to each of the following except which?

1 answer:

ololo11 [35]3 years ago

6 0

Answer:

$x \: is \: not \: a \: solution \: in \to \: 5x + 4 < 19. \\$

Step-by-step explanation:

$\: if \: x = 3 \: then \\ 4x-1=2x +5 \: is \: same \: as \to \: \\ 4(3) - 1 = 2(3) + 5\\ 12 - 1 = 6 + 5 \\ 11 =11 \to \: \\ \boxed{ x \: is \:a \: solution \: here} \\ \\ if \: x = 3 \\ then \to \\ 5x + 4 < 19\: is \: same \:as \to \\ 5(3) + 4 < 19 \\ 15 + 4 < 19 \\ 19 \: is \: equal \: to \: 19 : \\ 19 \: can \: not \: be \: less \: than \: 19 \\ \boxed{ henc e\: x \: is \: not \: a \: solution \: here}$

♨Rage♨

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Which equation is equivalent to log Subscript 3 Baseline (x + 5) = 2?

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Answer:

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Step-by-step explanation:

The equation is \log _{3}(x+5)=2

Option a: \log _{3}(x+5)=3^{2}

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Hence, option a is not equivalent to \log _{3}(x+5)=2

Option b: \log _{3}(x+5)=2^{3}

This is not possible because using logarithmic rule, if \log _{a} b=c then b=a^{c}

Hence, option b is not equivalent to \log _{3}(x+5)=2

Option c: x+5=3^{2}

This is possible because using logarithmic rule, if \log _{a} b=c then b=a^{c}

Hence, option c is equivalent to \log _{3}(x+5)=2

Option b: x+5=2^{3}

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Hence, option b is not equivalent to \log _{3}(x+5)=2

Thus, the correct option is c: x+5=3^{2}

Hence, the equation x+5=3^{2} is equivalent to \log _{3}(x+5)=2

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