Exponential and logarithmic integrals Simplified
TL;DR: Two integrals to lock into long-term memory: the integral of e to the x is just e to the x plus C, and the integral of 1 over x is the natural log of the absolute value of x plus C. For other bases, divide a-to-the-x by ln a. And whenever your integrand has […]
How to Solve Logarithmic Equations: Definition and Properties
TL;DR: Logarithmic equations look intimidating until you spot the rhythm. Combine the logs on each side first, then drop the log to leave plain algebra, solve, and, here is the step everyone forgets, check your answers against the domain. Logs only accept positive inputs, so any solution that sneaks in a negative or zero argument […]
