Prove: `log_b b^x=x`

Prove: log_b b = 1

Prove: log_b1 = 0

Prove: If log_x16 = 2 , then x^2 = 16 implies x = +- 4 , Is it correct or not?

Prove that log_(a)xy=log_(a)x+log_(a)y.

If x^2 + y^2 = 10xy , prove that 2 log (x + y) = log x + log y + 2 log 2 + log 3 .

If x^(2) + y^(2)=6xy , prove that 2 log (x+ y)= log x + log y + 3 log 2

We can write log"" x/y = log (x.y^(-1 )) Can you prove that log"" x/y = log x - logy using product and power rules.

If x^2 + y^2 = 6xy , prove that 2 log (x + y) = logx + logy + 3 log 2

log_x (a/b) =….

A : (a-b)/(a)+(1)/(2)((a-b)/(a))^(2)+(1)/(3)((a-b)/(a))^(3)+....=log_(e)((a)/(b)) R : log_(e)(1-x)=-x-(x^(2))/(2)-(x^(3))/(3)-(x^(4))/(4)-....