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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 ${8^{{{\log }_2}5}}$ .

Sub sections and their related questions

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