`log root(3)(6(2)/(9))=(1)/(3)(log7-2log3)+log2`

((1)/(2))log9+2log3-log6+log2-2

Which of the following numbers are positive/negative? log_(2)7( ii) log_(0.2)3 (iii) log_(1/3)((1)/(5))log_(4)3(v)log_(2)(log_(2)9)

If A=((log_(3)1-log_(3)4)(log_(3)9-log_(3)2))/((log_(3)1-log_(3)9)(log_(3)8-log_(3)4)) then find the value of 2(3^(A))

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)

If 2^(x)*3^(x+4)=7^(x), then x is equal to (A) (4log3)/(log7-log6)(B)(4log3)/(log6-log7)(C)(2log3)/(log7-log6)(D) none of these

Show that (1)/(2)log9+2log6+(1)/(4)log81-log12=3log3

Q.show that (1)/(2)log9+2log6+(1)/(4)log81-log12=3log3

If the angle between the curves y=2^(x) and y=3^(x) is alpha , then the value of tan alpha is equal to a) (log((3)/(2)))/(1+(log2)(log3)) b) (6)/(7) c) (1)/(7) d) (log(6))/(1+(log2)(log3))

log((36)/(25))^(3)+3log(2)/(9)-log2=2log(16)/(125)