On solving the logarithmic function, 2 ln x+3 ln 4=4, we get value of x as is x = √e⁴ - 63.
In mathematics, the opposite of exponentiation is the logarithm. This means that the logarithm of a given number, base b, represents the exponent to which that number must be increased in order to get a certain number, x.
Given equation is -
2 ln x + 3 ln 4=4
⇒ ln x² + ln 4³ = 4
⇒ ln (x² + 4³) = 4
⇒ taking e
⇒ log e(x² + 4³) = 4
⇒ e⁴ = x² + 4³
⇒ e⁴ = x² + 63
⇒ x = √e⁴ - 63
To learn more about logarithmic function from given link
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