If log10 7 = α , then  solve   log10 \(\left(\frac{1}{70}\right)\)

If log 27 =  1.431 , find  the value of log 9  .

If  log ₁₀  2 = 0.3010, then find  log₂ 10 .

If log₁₀ 2 = 0.3010, then find  log₁₀ 5 .

If log 3 = 0.477 and (1000)^x = 3 , find the value of x

If log 2 = 0.3010 and  log 3 = 0.4771 , find  the value of log₅  512

If log₁₀ 2 = 0.3010and log₁₀ 7 = 0.8451 , then find  the value of  log₁₀  2.8  .

Simplify :   \(\left(log\frac{75}{16}-2 log\frac{5}{9}+log\frac{32}{243}\right)\)

If log ( 0.57) = \(\overline{1}\).756 , then the value of log 57 + log ( 0.57 ) ³  + log  \(\sqrt{0.57}\)

If log 2 = 0.30103, then find number of digits in 2⁶⁴  .