Solve for x:
a) `(log_(10)(x-3))/(log_(10)(x^(2)-21)) = 1/2`
b) `log(log x)+log(logx^(3)-2)=`0, where base of log is 10.
c) `log_(x)2. log_(2x)2 = log_(4x)2`
d) `5^(logx)+5x^(log5)=3(a gt 0),` where base of log is 3.
e) If `9^(1+logx)-3^(1+logx)-210=0`, where base of log is 3.

Explanation

a) x=5, b) x=10, `c=2^(sqrt(2))` or `2^(sqrt(-sqrt(2)))`, d) `x=2^(-loga)`, where base of log is 5, e) `x=5`