Solve for `x :(log)_5 120+(x-3)-2.(log)_5(1-5^(x-3))=-(log)_5(0. 2-5^(x-4))dot`

log_(5)120+(x-3)-2*log_(5)(1-5^(x-3))=-log(0.2-5^(x-4))

Solve for xlog_(5)120+(x-3)-2*log_(5)(1-5^(x-3))=-log_(5)(0.2-5^(x-4))

Solve for x:5^(log x)+5x^(log5)=3(a>0)

Solve for x:x+(log)_(10)(1+2^(x))=x log_(10)5+log_(10)6

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.

Solve for x:log_(5)(5^(1//x)+125)=log_(5)6+1+1//2x

log_(0)5sqrt((x-4)/(x+3))

Solve log_(2)(25^(x+3)-1) = 2 + log_(2)(5^(x+3) + 1) .

log_5 ((2+x)/10)=log_5 (2/(x+1))

Solve for x: a) log_(0.5)(x^(2)-5x+6) ge -1 , b) log_(1//3)(log_(4)(x^(2)-5)) gt 0