Change the following exponential expression to its equivalent logarithmic form.e9=x+3e^9=x+3e9=x+3

ln ⁡ ( x + 3 ) = 9 \ln\left(x+3\right)=9 ln ( x + 3 ) = 9

Change the following exponential expression to its equivalent logarithmic form. e 9 = x + 3 e^9=x+3 e 9 = x + 3

In this problem, we're asked to put the exponential statement into its equivalent log form. And here I have e to the power of 9 is equal to x plus 3. Now, whenever we're putting something in its log form from exponential, we are always going to start from its base. So here we're going to start with that base of e, and that becomes the base of our log. So this is log base e, and then I'm going to circle to the other side of my equal sign to see what I'm taking the log of. Now I wanna take the log of all of this, so I'm gonna go ahead and put some parentheses whenever I put it here. So I have log base e of x plus 3, and then I'm going to circle back to the other side of my equal sign and all of that is equal to 9. Now I can actually do one more thing to write this more correctly here because I know that log base e is actually just the natural log so I can simply write this as ln the natural log of x plus 3 is equal to 9 and that is my equivalent log form thanks for watching and I'll see you in the next one