If ${{\log }_{10}}2=0.3010\text{ and }{{\log }_{10}}7=0.8451$ evaluate ${{\log }_{10}}280$

If ${{\log }_{{{x}^{\tfrac{1}{2}}}}}64=3$, find the value of x

If${{\log }_{10}}2=x,$express ${{\log }_{10}}12.5$in terms of x

Calculate the logarithm to base 9 of ${{3}^{-4}}\times {{9}^{2}}\times {{(81)}^{-1}}$

If ${{\log }_{10}}2=0.3010$ and${{\log }_{10}}3=0.4771$, evaluate ${{\log }_{10}}4.5$

If $6{{\log }_{x}}2-3{{\log }_{x}}3=3{{\log }_{5}}0.2$, find x

Evaluate ${{\log }_{\sqrt{2}}}4+{{\log }_{\tfrac{1}{2}}}16-{{\log }_{4}}32$

Evaluate ${{5}^{-3{{\log }_{5}}2}}\times {{2}^{2{{\log }_{2}}3}}$