Mathematics: Use the rules for logarithms and exponents to write this equation in logarithmic form.? For the equation K = Ae^(-ΔH/RT), solve for ln K using logarithms and exponents.

h(-8)=20Step-by-step explanation:plug in -8 for x...

Use the rules for logarithms and exponents to write

mdarter

19.01.2022

$ln K = ln (A) -\frac{\Delta H}{RT}$

Step-by-step explanation:

For this case we have the following expression:

$K = A e^{-\frac{\Delta H}{RT}}$ (1)

And we want to find the value of ln K. If we apply natural log on both sides of the equation (1) we got:

$ln K = ln(A e^{-\frac{\Delta H}{RT}})$

Using the following property:

ln(xy) = ln (x) + ln(y) for x and y real numbers, x>0, y>0, then we have:

$ln K = ln (A) + ln (e^{-\frac{\Delta H}{RT}})$

Now since the natural log and the exponentiation are inverse operations we have this:

$ln K = ln (A) + (-\frac{\Delta H}{RT})$

And then the final expression for ln K is :

$ln K = ln (A) -\frac{\Delta H}{RT}$

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