Find the value of `log_(10)0.001 `

Find the value of log_(2) 32

Find the value of log_(c) sqrtc

Find the value of [2/log_4(2000)^6+3/log_5(2000)^6]

If log_(3)4=a , log_(5)3=b , then find the value of log_(3)10 in terms of a and b.

If P is the number of natural number whose logarithms to the base 10 have the characteristic p and Q is the number of natural numbers logarithms of whose reciprocals to the base 10 have the characteristic -q, then find the value of log_(10)P-log_(10) Q .

If log2=0.301 and log3=0.477, find the value of log(3.375).

Find the value of log_(2/3)""8/27

Find the value of (log)_(2sqrt(3))1728.

Find the general value of log_(2)(5i), where i=sqrt(-1).