\(\text{www.the}\beta\text{etafunction.com}\)
Home
Login
Questions: Algebra BusinessCalculus
Please login to create an exam or a quiz.
Solve \(\displaystyle 7^{x} + 34=38\).
Isolating the exponential gives \(\displaystyle 7^{x}=4\). Taking the logarithm of both sides gives \(\displaystyle x = \log_{7}(4)\)
\begin{question}Solve $7^{x} + 34=38$.
\soln{9cm}{Isolating the exponential gives $7^{x}=4$. Taking the logarithm of both sides gives $x = \log_{7}(4)$}
\end{question}
\documentclass{article}
\usepackage{tikz}
\usepackage{amsmath}
\usepackage[margin=2cm]{geometry}
\usepackage{tcolorbox}
\newcounter{ExamNumber}
\newcounter{questioncount}
\stepcounter{questioncount}
\newenvironment{question}{{\noindent\bfseries Question \arabic{questioncount}.}}{\stepcounter{questioncount}}
\renewcommand{\labelenumi}{{\bfseries (\alph{enumi})}}
\newif\ifShowSolution
\newcommand{\soln}[2]{%
\ifShowSolution%
\noindent\begin{tcolorbox}[colframe=blue,title=Solution]#2\end{tcolorbox}\else%
\vspace{#1}%
\fi%
}%
\newcommand{\hideifShowSolution}[1]{%
\ifShowSolution%
%
\else%
#1%
\fi%
}%
\everymath{\displaystyle}
\ShowSolutiontrue
\begin{document}\begin{question}(10pts) The question goes here!
\soln{9cm}{The solution goes here.}
\end{question}\end{document}<p> <p>Solve <img class="equation_image" title=" \displaystyle 7^{x} + 34=38 " src="/equation_images/%20%5Cdisplaystyle%207%5E%7Bx%7D%20%2B%2034%3D38%20" alt="LaTeX: \displaystyle 7^{x} + 34=38 " data-equation-content=" \displaystyle 7^{x} + 34=38 " /> . </p> </p><p> <p>Isolating the exponential gives <img class="equation_image" title=" \displaystyle 7^{x}=4 " src="/equation_images/%20%5Cdisplaystyle%207%5E%7Bx%7D%3D4%20" alt="LaTeX: \displaystyle 7^{x}=4 " data-equation-content=" \displaystyle 7^{x}=4 " /> . Taking the logarithm of both sides gives <img class="equation_image" title=" \displaystyle x = \log_{7}(4) " src="/equation_images/%20%5Cdisplaystyle%20x%20%3D%20%5Clog_%7B7%7D%284%29%20" alt="LaTeX: \displaystyle x = \log_{7}(4) " data-equation-content=" \displaystyle x = \log_{7}(4) " /> </p> </p>