solve `5^x + 5^(2-x) = 26` and prove that `log(1+2+3) = log1 + log2 + log3 `

Prove that : (ii) log(1+2+3) = log1 + log2 + log3 .

If x^(2)+y^(2)=10xy prove that 2log(x+1)=log x+log y+2log2+log3

Find x if 2 log 5 + (1)/(2) log 9 - log 3 = log x

Solve the equation log(x+1)+log(x-1)=log3

Solve for x : (i) log_(10) (x - 10) = 1 (ii) log (x^(2) - 21) = 2 (iii) log(x - 2) + log(x + 2) = log 5 (iv) log(x + 5) + log(x - 5) = 4 log 2 + 2 log 3

Prove that: log_(3)log_(2)log_(sqrt(5))(625)=1

Solve: "log"_(2) x - 3 " log_((1)/(2)) x = 6

Solve log_(2)(3x-2)=log_((1)/(2))x

Prove that: log_3log_2log_(sqrt(5))(625)=1

If x = "log"_(2) 3 " and " y = "log"_(1//2) 5 , then