$Domain:\ x > 0\\\\3\ln(x)+2\ln(4)=\ln(128)\qquad\text{use}\ \lag_ab^n=n\log_ab\\\\\ln(x^3)+\ln(4^2)=\ln(128)\qquad\text{use}\ \log_ab+\ln_ac=\ln_a(bc)\\\\\ln(16x^3)=\ln(128)\iff16x^3=128\qquad\text{divide both sides by 16}\\\\x^3=8\to x=\sqrt[3]8\\\\\boxed{x=2}\in D$

3 0

3 years ago

18. At the movie theater, the 7:00 showing sold 75% of the tickets available.

attashe74 [19]

Answer:

$\color{red}\rule{10pt}{10pt} \color{pink}\rule{10pt}{10pt}\color{yellow}\rule{10pt}{10pt}\color{blue}\rule{10pt}{10pt}\color{green}\rule{10pt}{10pt}\color{royalblue}\rule{10pt}{10pt}\color{black}\rule{10pt}{10pt}\color{white}\rule{10pt}{10pt}\color{purple}\rule{10pt}{10pt}\color{magenta}\rule{10pt}{10pt}\color{orange}\rule{10pt}{10pt}\color{brown}\rule{10pt}{10pt}\color{lime}\rule{10pt}{10pt}$

5 0

2 years ago

Evaluate 2a+2b when a=10.8 and b=8.3

levacccp [35]

2(10.8) = 21.6
2(8.3) = 16.6
21.6 + 16.6
Answer: 38.2

5 0

3 years ago

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