How do you solve $e^{x} = 27$ $e^x = 27$ ?

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Answer 1 · 2016-05-04T18:15:22

$x = ln 27$ $x=ln 27$

$e^{x} = 27$ $e^x=27$

${ln e}^{x} = ln 27$ $ln e^x = ln 27$ ->Take ln of both sides

$x ln e = ln 27$ $x ln e = ln 27$ -Use property ${log}_{b} x^{n} = n {log}_{b} x$ $log_b x^n = nlog_bx$

$x \cdot 1 = ln 27$ $x*1=ln 27$ ->ln e=1

$x = ln 27$ $x=ln 27$

How do you solve ex=27e^x = 27?