Please help with number 8,9,10. need explanations

8. Let m= log,3 and n=log,4. Use a logical argument to show that log 49 72 can be written in terms of m and n without using log notation. The logarithm with base e is called the natural log. We use the notation In x to mean log. x. Natural logarithms have the same properties as other logarithms. Ine* = xIn (xy)= Inx + In y In x'=rInx ex=xIn Inx-Inylog x= Inx In a 9. Let e2+six= 100. Solve for x. 10. The derivative of any exponential function is just another exponential function. da = a .c dx In the case of y=2", we saw that its derivative is a slightly scaled down version of itself, so the scaling factor c is less than 1. For y= 4", the derivative is larger than the original function, so the scaling factor C is more than 1. The scaling factor c depends upon the value of the base a. a) Differentiate a" by first expressing it as a power of e. b) What is the value of c in terms of a