The value of the x is 3.22 if the eˣ = 25 after taking the log both side and lne is 1.
It is another way to represent the power of numbers, and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.
[tex]\rm a^b = c\\log_ac =b[/tex]
We have:
[tex]\rm e^x = 25[/tex]
Taking ln both side:
[tex]\rm lne^x = ln25[/tex]
xlne = 3.218
x = 3.218 (lne = 1)
or
x = 3.22
Thus, the value of the x is 3.22 if the eˣ = 25 after taking the log both side and lne is 1.
Learn more about the Logarithm here:
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