Suppose that a and b are positive real numbers such that `log_(27) a + log_(9) b = 7/2 " and " log_(27) b + log_(9) a = 2/3`. Find the value of the ab.

Suppose that a and b are positive real numbers such that log_(27)a+log_(9)(b)=(7)/(2) and log_(27)b+log_(9)a=(2)/(3). Then the value of the ab equals

If a, b, c, are positive real numbers and log_(4) a=log_(6)b=log_(9) (a+b) , then b/a equals

Let a, b, c, d be positive integers such that log_(a) b = 3//2 and log_(c) d = 5//4 . If (a-c) = 9, then find the value of (b-d).

If log_(a)b=2, log_(b)c=2, and log_(3) c= 3 + log_(3) a,then the value of c/(ab)is ________.

Evaluate: log_(9)27 - log_(27)9

if a,b,c are positive real numbers such that a^(log_(3)(7));b^(log_(7)(11))=49 and c^(log_(11)(25))=sqrt(11) find the vale of a^((log_(3)(7))^(2)+b^((log_(7)(11))^(2))+c)(log_(11)(25))^(2)

Let a,b,c are positive real number such that 9a+3b+c=90, then,(1) Maximum value of log_(10)a+log_(10)b+log_(10)c is equal to: (2) Maximum value of ab^(2)c^(3) is equal to:

Solve log_(6) 9-log_(9) 27 + log_(8)x = log_(64) x - log_(6) 4 ..

Let a,b,c,d be positive integers such that log_(a)b=(3)/(2) and log_(c)d=(5)/(4). If (a-c)=9, then find the value of (b-d)

if a,b,c are positive real numbers such that a^(log_(3)7)=27;b^(log711)=49 and c^(log_(11)25)=sqrt(11) then the value of {a^(log_(3)7)sim2+b^(log_(7)11)^^2+c^(log_(11)25)^^2} is