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Feliz [49]
4 years ago
14

PLEASE HELP MEEEEEEEE AND THANKS

Mathematics
1 answer:
VashaNatasha [74]4 years ago
3 0

Answer:

See below

Step-by-step explanation:

Use 5 for "x" or "a number" and see if the inequality is true.

a) =3 < 5+11 < 2 . . . . false. 16 is not less than 2

b) 7·5 ≥ 35 or 4·5 < -12 . . . . true. 35 = 35

c) -7 + 2·5  = 3 is at most 2 . . . . false. 3 > 2

d) 5·5 +3 = 28 is between 2 and 30 . . . . true.

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Alisiya [41]

Answer:

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Step-by-step explanation:

\text{De}\text{finition of logarithm}\ \log_ab=c\iff a^c=b.\\\\\log_bA=5\iff A=b^5\\\\\log_bC=7\iff C=b^7\\\\\log_bD=2\iff D=b^2\\\\\dfrac{A^5C^2}{D^6}=\dfrac{(b^5)^5(b^7)^2}{(b^2)^6}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=\dfrac{b^{25}b^{14}}{b^{12}}\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\ \text{and}\ \dfrac{a^m}{a^n}=a^{m-n}\\\\=b^{25+14-12}=b^{27}\\\Downarrow\\\\\log_b\left(\dfrac{A^5C^2}{D^6}\right)=\log_bb^{27}\qquad\text{use}\ \log_aa^n=n\\\\\log_b\left(\dfrac{A^5C^2}{D^6}\right)=27

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Answer:

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Step-by-step explanation:

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