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# Rewrite as an exponential equation e^{x}=2

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asked 2021-04-28
Rewrite as an exponential equation
$$\displaystyle{e}^{{{x}}}={2}$$

## Answers (1)

2021-04-30
Step 1
The relationship between logarithmic and exponential function is given by
$$\displaystyle{{\log}_{{{b}}}{x}}={y}\Leftrightarrow{b}^{{{y}}}={x}$$
Where b is the base.
To convert exponential to logarithmic function find x, y, b and substitute in above equation.
Step 2
Given
$$\displaystyle{e}^{{{x}}}={2}$$
Here b=e, y=x, x=2.
So the logarithmic form is
$$\displaystyle{{\log}_{{{b}}}{x}}={y}$$
$$\displaystyle{\ln{{2}}}={x}$$

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