Find the value of `log_(10)0.001 `

Find the value of log_(2) 32

Find the value of log_(c) sqrtc

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

Find the value of 3^(2log_(9)3) .

Find the value of log_(2) (1/(7^(log_(7) 0.125))) .

Find the value of sqrt((log_(0.5)4)^(2)) .

Find the value of log_(5) log_(2)log_(3) log_(2) 512 .

Find the value of |(1,log_(x) y,log_(x) z),(log_(y) x,1,log_(y) z),(log_(z) x,log_(z) y,1)| if x,y,z ne 1

Find the value of 7 log(16/15) + 5 log (25/24) + 3 log (81/80) .

Find the value of log_(2) (2root(3)9-2) + log_(2)(12root(3)3+4+4root(3)9) .