`(log_3 135) /(log_(15) 3)- (log_3 5)/(log_(405) 3`

Prove that: (log_9 11)/(log_5 3) = (log_3 11)/(log_sqrt(5) 3).

Let N=(log_(3)135)/(log_(3)135)-(log_(3)5)/(log_(3)5). Then N is a.A natural number b.a prime number c. an even integer d.an odd integer

7^(log_(3)5)+3^(log_(5)7)-5^(log_(3)7)-7^(log_(5)3)

Prove that: (log_(9)11)/(log_(5)3)=(log_(3)11)/(log_(sqrt(5))3)

Calculate 7^(log g_(3)5) + 3 ^(log_(5)7 ) - 5 ^(log_(3)7) - 7 ^(log_(5)3)

Find the value of (i) (log_(10)5)(log_(10)20)+(log_(10)2)^(2) (ii) root3(5^((1)/(log_(7)5))+(1)/((-log_(10)0.1))) (iii) log_(0.75)log_(2)sqrtsqrt((1)/(0.125)) (iv)5^(log_(sqrt(5))2)+9^(log_(3)7)-8^(log_(2)5) (v)((1)/(49))^(1+log_(7)2)+5^(-log_(1//5)7) (vi) 7^(log_(3)5)+3^(log_(5)7)-5^(log_(3)7)-7^(log_(5)3)

(log_(5)4)(log_(4)3)(log_(3)2)(log_(2)1) =

The value of (log_(3) 5 xx log_(25) 27 xx log_(49) 7)/(log_(81)3) is

Solve (log_(3)x)(log_(5)9)- log_x 25 + log_(3) 2 = log_(3) 54 .