If ${{\log }_{x}}2=0.3$ evaluate ${{\log }_{x}}8$

Simplify ${{\log }_{10}}6-3{{\log }_{10}}3+\tfrac{2}{3}{{\log }_{10}}27$

Evaluate $\frac{{{\log }_{3}}9-{{\log }_{2}}8}{{{\log }_{3}}9}$

If ${{\log }_{10}}(6x-4)-{{\log }_{10}}2=1$, solve for x

Given that $a=\log 7$ and $b=\log 2$ express $\log 35$ in terms of a and b

If ${{\log }_{9}}x=1.5$ find x

Simplify the expression ${{\log }_{10}}18-{{\log }_{10}}2.88+{{\log }_{10}}16$

Given that ${{\log }_{x}}64=3$, evaluate $x{{\log }_{2}}8$  

If ${{\log }_{a}}270-{{\log }_{a}}10+{{\log }_{a}}\tfrac{1}{3}=2$ what is the value of a?

Find the value of a if ${{\log }_{10}}a+{{\log }_{10}}{{a}^{2}}=0.9030$