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\documentclass[10pt,fleqn]{article}
\usepackage[top=1in, bottom=1in]{geometry}
\usepackage{amsfonts}
\usepackage{graphicx}
\usepackage{amsmath}
\usepackage[T1]{fontenc}
\usepackage{titling}
\begin{document}
\maketitle
\textbf{1.} Use the properties of logarithms to expand expressions:
\[(a)\log_2\left(x^4\sqrt{\frac{x}{z^3}}\right)\]
\[(b)\ln\left(\frac{7x^3\sqrt{x+1}}{5}\right)\]
\bigskip
\textbf{2.} Solve the logarithmic equation algebraically:
\[\log_8(x-1)=\log_8(x-2)-\log_8(x+2)\]
\bigskip
\textbf{3.} Condense the expression to the logarithm of single quantity:
\[5\ln(x-2)-\ln(x+2)-3\ln(x)\]
\bigskip
\textbf{4.} The management at a plastics factory has found that the maximum number of units a worker can produce in a day is 30. The learning curve for the number N of units produced per day after a new employee has worked t days is modeled by
\begin{center}$N=30(1-e^{kt})$. \end{center}
After 20 days on job, a new employee produces 19 units. How many days will pass before this employee is producing 25 units per day?
\end{document}
答案1
您在这里看到的是段落缩进。我建议enumerate
在这里使用环境。
\documentclass[10pt,fleqn]{article}
\usepackage[top=1in, bottom=1in]{geometry}
\usepackage{amsfonts}
\usepackage{amsmath}
\usepackage[T1]{fontenc}
\begin{document}
\begin{enumerate}\renewcommand{\labelenumi}{\textbf{\arabic{enumi}.}}
%\maketitle
\item Use the properties of logarithms to expand expressions:
\begin{enumerate}
\item $\displaystyle\log_2\left(x^4\sqrt{\frac{x}{z^3}}\right)$
\item $\displaystyle\ln\left(\frac{7x^3\sqrt{x+1}}{5}\right)$
\end{enumerate}
\item Solve the logarithmic equation algebraically:
\[\log_8(x-1)=\log_8(x-2)-\log_8(x+2)\]
\item Condense the expression to the logarithm of single quantity:
\[5\ln(x-2)-\ln(x+2)-3\ln(x)\]
\item The management at a plastics factory has found that the maximum number of units a worker can produce in a day is 30. The learning curve for the number N of units produced per day after a new employee has worked t days is modeled by
\[N=30(1-e^{kt})\;.\]
After 20 days on job, a new employee produces 19 units. How many days will pass before this employee is producing 25 units per day?
\end{enumerate}
\end{document}