about to only mathematics...

about to only mathematics

`9//5`

`8//5`

Text Solution

Verified by Experts

The correct Answer is:

Given ` 4 log_(a) a+5log_(a) b =0`
` rArr log_(a) b = -4//5` …(i)
Now ` log_(a)(a^(5)b^(4)) = 5+4 log_(a) b = 5 + 4 (-4/5)`
` = 5 - 16/5 = 9/5`

Topper's Solved these Questions

LOGARITHM AND ITS PROPERTIES
CENGAGE|Exercise Exercise (Multiple)|17 Videos
LOGARITHM AND ITS PROPERTIES
CENGAGE|Exercise Exercise (Comprehension)|6 Videos
LOGARITHM AND ITS PROPERTIES
CENGAGE|Exercise Exercise 1.6|6 Videos
LOGARITHM AND ITS APPLICATIONS
CENGAGE|Exercise Subjective Type|9 Videos
MATHMETICAL REASONING
CENGAGE|Exercise JEE Previous Year|10 Videos

Similar Questions

Explore conceptually related problems

A school library has 75 books on Mathematics, 35 books on physics. A student can choose only one book , In how many ways a student can choose a book on Mathematics or physics?

The first theorem in mathematics is ………… .

There are 15 candidates for an examination . 7 candidates are appearing for mathematics examination while the remaining 8 are appearing for different subjects. In how many ways can they be seated in a row so that no two mathematics candidates are together ?

There are 15 candidates for an examination. 7 candidates are appearing for mathematics examination while the remaning 8 are appearing for different subjects. In how many ways can they be seated in a row so that no two mathematics candidates are together?

There are 15 candidates for an examination. 7 candidates are appearing for mathematics examination while the remaining 8 are appearing for different subjects . In how many ways can they be seated in a row so that no two mathematics candidates are together ?

A bag contains a total of 20 books on physics and mathematics, Any possible combination of books is equally likely. Ten books are chosen from the bag and it is found that it contains 6 books of mathematics. Find out the probability that the remaining books in the bag contains 3 books on mathematics.

The probability that a student will score centum in mathematics is 4/5 . The probability that he will not score centum is ………………… .

CENGAGE-LOGARITHM AND ITS PROPERTIES-Exercise (Single)

(log)(x-1)x (log)(x-2)(x-1) (log)(x-12)(x-11)=2,x is equal to: 9 (b) ...
Text Solution
|
If f(x)=log((1+x)/(1-x)),t h e n f(x1)f(x)=f(x1+x2) f(x+2)-2f(x+1)...
Text Solution
|
about to only mathematics
Text Solution
|
The value of 3^((log)4 5)-5^((log)4 3) is 0 (b) 1 (c) 2 (d) none of...
Text Solution
|
If 2^(x+y)=6^ya n d3^(x-1)=2^(y+1), then the value of (log3-log2)(x-y)...
Text Solution
|
The value of x satisfying sqrt3^(-4+2log(sqrt5)x)= 1//9 is
Text Solution
|
The value of x satisfying the equation 3sqrt(5)^(log)5 5^(((log)5(log)...
Text Solution
|
If sqrt((log)2x)-0. 5=(log)2sqrt(x ,) then x equals odd integer (b)...
Text Solution
|
if (log)y x+(log)x y=1,x^2+y=12 , the value of x y is 9 (b) 12 (c) 15 ...
Text Solution
|
4^(log9 3)+9^(log2 4)=1 0^(logx 83), then x is equal to
Text Solution
|
If (x+1)^((log)(10)(x+1))=100(x+1), then
Text Solution
|
If log2x+logx2=10/3=log2y+logy2 and x!=y ,then x+y=
Text Solution
|
If (log)(10)[1/(2^x+x-1)]=x[(log)(10)5-1] , then x= 4 (b) 3 (c) 2 ...
Text Solution
|
If (log)3{5+4(log)3(x-1)}=2, then x is equal to 4 (b) 3 (c) 8 (d) (...
Text Solution
|
If 2x^((log)4 3)+3^((log)4x)=27 , then x is equal to 2 (b) 4 (c) 8 (d...
Text Solution
|
The equation log4(2-x)+log(0.25)(2+x)=log4(1-x)+log(0.25)(2x+1) has
Text Solution
|
The value of b for which the equation 2(log)(1/(25))(b x+28)=-(log)5(1...
Text Solution
|
If the equation 2^x+4^y=2^y is solved for y in terms of x where x<0, t...
Text Solution
|
The number of solution of x^(log)x(x+3)^2=16 is a)0 (b) 1 (c) 2 (d...
Text Solution
|
The product of roots of the equation (log8(8/x^2))/((log8x)^2)=3 is 1 ...
Text Solution
|