[" (b) "ln log_(e)log_(5)[sqrt(2)x-2+3]=0],[" (b) Prove that "log_(3)5" and "log_(2)7" are both irational."]

Prove that log_(3)5 and log_(2)7 are both irrational

If log_(e) log_(5) [sqrt(2x - 2) +3 ] = 0

(a) Which is smaller ? 2 or (log_(pi) 2 + log_(2) pi) . (b) Prove that log_(3) 5 " and " log_(2) 7 are both irrational.

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

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

If a=log_(4)5 and b=log_(5)6 then log_(2)3 is

If log_(a) 3 = 2 and log_(b) 8 = 3," then prove that "log_(a) b= log_(3) 4 .

If log_(a) 3 = 2 and log_(b) 8 = 3," then prove that "log_(a) b= log_(3) 4 .

If log_(a) 3 = 2 and log_(b) 8 = 3," then prove that "log_(a) b= log_(3) 4 .

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