• # question_answer What is the value of $\frac{\mathbf{1}}{\mathbf{2}}\mathbf{lo}{{\mathbf{g}}_{\mathbf{10}}}\mathbf{36-21o}{{\mathbf{g}}_{\mathbf{10}}}\mathbf{3+lo}{{\mathbf{g}}_{\mathbf{10}}}\mathbf{15?}$ A)  2                                B)  3              C)  1D)  0

(c): $\frac{1}{2}{{\log }_{10}}36-2lo{{g}_{10}}3+lo{{g}_{10}}15$ $=lo{{g}_{10}}{{36}^{1/2}}-lo{{g}_{10}}{{3}^{2}}+lo{{g}_{10}}15$ $=lo{{g}_{10}}6-lo{{g}_{10}}9+lo{{g}_{10}}15$ $={{\log }_{10}}\frac{6\times 15}{9}={{\log }_{10}}\frac{90}{9}={{\log }_{10}}10=1$