Question

qual o log de 1/4 com base 16?

Answer 1

$\mathsf{\ell og_{16}(\frac{1}{4})=x}\\\\\mathsf{16^x=\frac{1}{4}}\\\\\mathsf{(2^4)^x=2^{-2}}\\\\\mathsf{2^{4x}=2^{-2}}\\\\\mathsf{4x=-2}\\\\\mathsf{x=-\frac{2}{4}}\\\\\boxed{\mathsf{x=-\frac{1}{2}}}$

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