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Syllabus

Relationships between these functions: \({a^x} = {{\text{e}}^{x\ln a}}\) ; \({\log _a}{a^x} = x\) ; \({a^{{{\log }_a}x}} = x\) , \(x > 0\) .

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Topic 2 - Functions and equations » 2.6 » Relationships between these functions: \({a^x} = {{\text{e}}^{x\ln a}}\) ; \({\log _a}{a^x} = x\) ; \({a^{{{\log }_a}x}} = x\) , \(x > 0\) .

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Directly related questions

09M.1.sl.TZ1.6a: (i) Show that \({f^{ - 1}}(x) = \ln x - 3\) . (ii) Write down the domain of \({f^{ - 1}}\) .
13M.1.sl.TZ1.7b: Find the value of \({8^{{{\log }_2}5}}\) .

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