In [tex]e^{2x}=12[/tex], x = 1.24, by the properties of logarithm.
What is Logarithm?
- The opposite of exponentiation is the logarithm.
- This indicates that the exponent to which a fixed number, base b, must be raised in order to obtain a specific number x, is represented by the logarithm of that number.
- A number's natural logarithm is its logarithm to the base of the transcendental and irrational number e, which is roughly equivalent to 2.718281828459.
Now,
In [tex]e^{2x}=12[/tex], taking natural logarithm on both side.
=> [tex]log_e(e^{2x})=log_e(12)[/tex]
=> 2x = 2.48 (approx)
=> x = 1.24
Hence, In [tex]e^{2x}=12[/tex], x = 1.24, by the properties of logarithm.
To learn more about logarithms, refer to the link: brainly.com/question/25710806
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