How do you write $ln 0.2 = x$ $ln 0.2 = x$ in exponential form?

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Answer 1 · 2015-09-02T04:30:58

$e^{x} = 0.2$ $color(green)(e^x = 0.2$

$ln 0.2$ $ln0.2$ is the Natural Logarithm of 0.2

Natural logarithm is the logarithm to the base e of a number.

Hence $ln 0.2 = x$ $ln 0.2 = x$ can be written as ${log}_{e} 0.2 = x$ $log_e0.2 = x$

And we know that ${log}_{b} y = a$ $color(blue)(log_by = a$ is equivalent to $b^{a} = y$ $color(blue)(b^a = y$

Hence ${log}_{e} 0.2 = x$ $log_e0.2 = x$ in exponential form can be written as $e^{x} = 0.2$ $color(green)(e^x = 0.2$ in Exponential Form

How do you write ln0.2=xln 0.2 = x in exponential form?