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 […]
