opgave c

${}^g\log (a) = b \Leftrightarrow g^b = a$


uitwerking

$\eqalign{& {}^2\log \left( {4 - 30x^2 } \right) = - 2 \cr & 4 - 30x^2 = 2^{ - 2} \cr & 4 - 30x^2 = \frac{1}{4} \cr & 16 - 120x^2 = 1 \cr & 120x^2 = 15 \cr & x^2 = \frac{1}{8} \cr & x = - \sqrt {\frac{1}{8}} \,\,of\,\,x = \sqrt {\frac{1}{8}} \cr & x = - \frac{1}{4}\sqrt 2 \,\,of\,\,x = \frac{1}{4}\sqrt 2 \cr} $

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