Solving radical equations are required to isolate the radicals or surds to one side of the equations. Then square both sides. Here we have two important checkpoints. Checkpoint 1 for Solving radical equations Make sure the whole both sides are to be squared but not squaring individual terms. This is what I say, $$(1+2)^2 = […] # 12 Patterns of Logarithmic Equations Solving logarithmic equations is done many ways using properties of logarithmic functions, such as multiply of logs, change the base and reciprocals of logarithms.$$ \begin{aligned} \displaystyle \large a^x = y \ &\large \Leftrightarrow x = \log_{a}{y} \\ \large \log{a} + \log{b} &= \large \log{(a \times b)} \\ \large \log{a} – \log{b} &= \large \log{(a […]
For solving Quadratic Equations in Square Roots, it is required to square both sides entirely, but not individually. For instance, $$(1 + 2)^2 = 3^2 \\ 1^2 + 2^2 \ne 3^2$$ It is important to check the solutions to see they work for the original equation, if the original equation is squared. Worked […]