9th Class
Mathematics
Related to Competitive Exam
Question Bank
Logarithms
question_answer
If \[{{\mathbf{a}}^{\mathbf{6}}}=\text{ }{{\mathbf{b}}^{\mathbf{6}}}+{{\mathbf{c}}^{\mathbf{6}}}\], then the value of \[\mathbf{lo}{{\mathbf{g}}_{\mathbf{c}}}({{\mathbf{a}}^{\mathbf{2}}}-{{\mathbf{b}}^{\mathbf{2}}})+\mathbf{lo}{{\mathbf{g}}_{\mathbf{c}}}({{\mathbf{a}}^{\mathbf{2}}}+{{\mathbf{b}}^{\mathbf{2}}}+\mathbf{ab})\]\[+\text{ }\mathbf{lo}{{\mathbf{g}}_{\mathbf{c}}}\left( {{\mathbf{a}}^{\mathbf{2}}}+{{\mathbf{b}}^{\mathbf{2}}}+\mathbf{ab} \right)\] is equal to ________