Exponential functions and logarithms: Logarithmic functions
Solving equations using substitution
Previously, we solved complicated equations using substitution. We can also use this for logarithms and exponential equations. When we write #\log_a\!\left(x\right)^2#, we mean #\left(\log_a\left(x\right)\right)^2#. We'll give a step-by-step guide for solving these equations. For exponential functions we also need to check whether or not the solutions are valid.
Solving logarithmic equations using substitution
We solve a logarithmic equation with unknown #x# using substitution and the quadratic formula.