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Solve an exponential equation
", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "\nDetermine the value for \\(x\\) that satisfies the equation: \\(\\var{a}e^{\\var{m}x+\\var{c}}=\\var{k}\\)
\n", "advice": "\\(\\var{k}=\\var{a}e^{\\var{m}x+{\\var{c}}}\\)
\n\\(\\frac{\\var{k}}{\\var{a}}=e^{\\var{m}x+\\var{c}}\\)
\n\\(ln\\left(\\frac{\\var{k}}{\\var{a}}\\right)=\\var{m}x+\\var{c}\\)
\n\\(ln\\left(\\frac{\\var{k}}{\\var{a}}\\right)-\\var{c}=\\var{m}x\\)
\n\\(\\frac{ln\\left(\\frac{\\var{k}}{\\var{a}}\\right)-\\var{c}}{\\var{m}}=x\\)
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\n\\(x = \\) [[0]]
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