Find the value of log

_{10}r + log_{10}r^{2}+ log_{10}r^{4}+ log_{10}r^{8}+ log_{10}r^{16}+ log_{10}r^{32}= 63-
**A.**

10^{-1} -
**B.**

10^{o} -
**C.**

10 -
**D.**

10^{2}

##### Correct Answer: Option C

##### Explanation

log_{10} r + log_{10} r^{2} + log_{10} r^{4} + log_{10} r^{8} + log_{10} r^{16} + log_{10} r^{32} = 63

log_{10}r^{63} = 63^{63} = 10^{63}

∴ r = 10