solve exponential equations and inequalities answer key
es differ, or the equation isn't easily comparable, take logarithms on both sides. Common logarithm approach: \[ \log_b (a) = c \Rightarrow a = b^c \] Example: Solve \( 2^x = 10 \). Solution: Take natural log (or log base 10): \[ \ln(2^x) = \ln(10) \] \[ x \ln(2) = \ln(10) \] \[ x = \frac{\