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Artist 52 [7]
3 years ago
5

(4Q) If c < d and x > 1, which of the following must be true?

Mathematics
1 answer:
scoray [572]3 years ago
3 0

Use the rule to change the base

\log_a(b) = \dfrac{\log_c(b)}{\log_c(a)}

To express both logarithms in terms of the natural logarithm (for example, any common base would be fine:

\log_c(x) = \dfrac{\ln(x)}{\ln(c)},\quad \log_d(x) = \dfrac{\ln(x)}{\ln(d)}

Since the natural logarithm is an increasing function, we have

c\ln(d)

which implies

\dfrac{\ln(x)}{\ln(c)}=\log_c(x)

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3 0
3 years ago
Alguem pra me ajudar na minha prova de matematica daqui 10 min? 8 ano
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3 years ago
Please help with these 3 questions
Sever21 [200]

Answer: x = 11

Step-by-step explanation:

2x+5 = 3x-6

2x-3x = -6-5

-x = -11

x = 11

Double-check:
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22+5 = 27                33-6= 27

4 0
2 years ago
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