Prove that `log_a (1+2+3) = log_a 1+log_a 2 + log_a 3`

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

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

Prove that (i) log_(2)log_(2)log_(2)16=1

Prove that log5040 = 4log2 + 2log3 + log5 + log7

Prove that log_(2)log_(2)log_(sqrt(3))81=1

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

Properties of logarithmic function Property (1) log_a 1=0 (2) log_a a=1 (3) log_a (xy)=log_a|x|+log_a|y| (4) log_a(x/y)=log_a |x|-log_a |y|

If a^(2) + b^(2) = 7 ab," prove that " log((a+b)/3) = 1/2 (log a + log b) .

Prove that log_(2) [log_(4) {log_(5) (625)^(4)}]=1

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