Related InterviewSolutions

• If `log_(a)x = m and log_(b)x =n` then `log_(a/b)`x= ______A. `m/(m-n)`B. `(mn)/(m-n)`C. `n/(m-n)`D. (mn)/(n-m)`
• ` if 2^(log_(3)9) + 25 log_(9)3 = 8 log_(x)9`then x= _______A. 9B. 8C. 3D. 2
• If `x^(2)+y^(2)-3xy = 0 and x gt y` then find the value of `log_(xy)(x-y)^2`A. `1/4`B. 4C. `1/2`D. 2
• If `x^(2) + y^(2) -3xy = 0 and x gt y` then find the value of `log_(xy)(x-y)`.A. `1/4`B. 4C. `1/2`D. 2
• If `log_(a)x("where "a gt 1)` is positive, then the range of x is ______.
• The set of real values of `x` satisfying `log_(1/2) (x^2-6x+12)>=-2`A. `(-oo, 2]`B. `[2, 4]`C. `[4, oo)`D. none of these
• The solution set of `|x+2|^(log_(10)(x^(2)+6x+9))=1` is ______.A. `{-3, -4}`B. `{0, -3}`C. `{-4, -1}`D. `{-3, -1}`
• The value of `x^("log"_(x) a xx "log"_(a)y xx "log"_(y) z)` isA. xB. yC. zD. a prime number
• The solution set for `|1-x|^(log_(10)(x^(2)-5x+5))=1`, is ______.A. {0, 1, 4}B. {1, 4}C. {0, 4}D. {0, 2, 4}
• The least positive integral value of the expression `(1)/(2) log_(10) m - log_(m^(-2)) 10` is ______.