Hi there - it has been quite a long time since I took Calculus. I am trying to brush up and understand where to start with this question:
Starting with the identity a^x = e^xlna, derive the relationships between (a) e^x and 10^x; (b) ln x and log x. Note: log x = log10 x unless otherwise specified.
I know how the a^x was derived, but I'm honestly not sure what a) is asking?
I have re-written the equation to a^x = (e^ln(a))^x
What are some important rules that I should start from? (chain rule, etc)
Starting with the identity a^x = e^xlna, derive the relationships between (a) e^x and 10^x; (b) ln x and log x. Note: log x = log10 x unless otherwise specified.
I know how the a^x was derived, but I'm honestly not sure what a) is asking?
I have re-written the equation to a^x = (e^ln(a))^x
What are some important rules that I should start from? (chain rule, etc)