Question

( log _{sqrt{8}} b=frac{10}{3} Rightarrow frac{log b}{log _{frac{1}{3}}}=frac{10}{3} Rightarrow frac{2 log b}{log 8}=frac{10}{3} )
( begin{aligned} Rightarrow frac{log _{5}}{3 log _{2}}=frac{5^{5}}{3} &=frac{log b}{log _{2}}=5 Rightarrow & frac{1}{5} log _{2} b=1 Rightarrow & log _{2} b^{1 / 5}=1 Rightarrow & b^{1 / 5}=2 quad Rightarrow b=2^{5}=32 end{aligned} )

# The value of 'is satisfying logva b=3 is (A) 30 (B) 31 32 (D) 33

Solution