Which is smaller ? `log_(1/3) (1/80)` or `log_(1/2)(1/(15+sqrt(2)))`

Which is smaller? 2 or (log_(("e"-1))2+log_2(e-1))

Which is smaller? 2 or ((log)_("e"-1)2+(log)_2(e-1))

log_((sqrt(2)+1))(sqrt(2)-1)=

Which of the following statement(s) is/are true? (a) log _(10)2 lies between (1)/(4) and (1)/(3) (b) log_(csc(pi/6))(cos backslash(pi)/(3))=-1( c) e^(ln(ln3)) is smaller than 1(d)log_(10)1+(1)/(2)log_(10)3+log_(10)(2+sqrt(3))=log_(10)(1+sqrt(3)+(2+sqrt(3)))

Which is smaller? 2or ((log)_(e backslash-1)^(2)+(log)_(2)e-1)

Solve log_(2)(2sqrt(17-2x))=1 - log_(1//2)(x-1) .

Solve log_(2)(2sqrt(17-2x))=1 - log_(1//2)(x-1) .

Solve log_(2)(2sqrt(17-2x))=1 - log_(1//2)(x-1) .

Solve log_(2)(2sqrt(17-2x))=1 - log_(1//2)(x-1) .

2log_(2)(log_(2)x)+log_((1)/(5))(log_(2)2sqrt(2x))=1