How do you simplify ${ln e}^{\frac{4}{x}}$ $Lne^(4/x)$ ?

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Answer 1 · 2018-04-30T10:50:05

${ln e}^{\frac{4}{x}} = \frac{4}{x}$ $ln e^(4/x) = 4/x$

${log a}^{n} = n \times log a$ $log a^n = n xx log a$
${log}_{b} b = b$ $log_b b = b$

${ln e}^{\frac{4}{x}} = {log}_{e} e^{\frac{4}{x}} = \frac{4}{x} \times {log}_{e} e = \frac{4}{x}$ $ln e^(4/x) = log_e e^(4/x) = 4/x xx log_e e = 4/x$

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