\[{e}^{x}+5=60\]

1
Subtract 55 from both sides.
ex=605{e}^{x}=60-5

2
Simplify  60560-5  to  5555.
ex=55{e}^{x}=55

3
Use Definition of Natural Logarithm: ey=x{e}^{y}=x if and only if lnx=y\ln{x}=y.
x=ln55x=\ln{55}

Done

Decimal Form: 4.007333

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