Home
Class 12
MATHS
(2^(log6 18))*(3^(log6 3))...

`(2^(log_6 18))*(3^(log_6 3))`

A

6

B

9

C

12

D

18

Text Solution

Verified by Experts

The correct Answer is:
A
`(2^(log_(6)18)).(3^(log_(6)3))`
`=(2^(log_(6)6+log_(6)3)).(3^(log_(6)3))`
`=2(2^(log_(6)3)).(3^(log_(6)3))`
`= 2.6^(log_(6)3)`
`=2.3^(log_(6)6)`
`=2xx3=6`
Promotional Banner

Topper's Solved these Questions

  • LOGARITHM AND ITS APPLICATIONS

    CENGAGE|Exercise Subjective Type|9 Videos

  • LINEAR COMBINATION OF VECTORS, DEPENDENT AND INDEPENDENT VECTORS

    CENGAGE|Exercise DPP 1.2|10 Videos

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE|Exercise JEE Previous Year|5 Videos

Similar Questions

Explore conceptually related problems

Find the value of ((log)_3 4)((log)_4 5)((log)_5 6)((log)_6 7)((log)_7 8)((log)_8 9)dot

The value of (1+2(log)_3 2)/((1+(log)_3 2)^2)+((log)_6 2)^2 is 2 (b) 3 (c) 4 (d) 1

If 3^x=4^(x-1) , then x= (2(log)_3 2)/(2(log)_3 2-1) (b) 2/(2-(log)_2 3) 1/(1-(log)_4 3) (d) (2(log)_2 3)/(2(log)_2 3-1)

The value of 6^(log_10 40)*5^(log_10 36) is

|{:(5sqrt(log_(e)3),,5sqrt(log_(e)3),,3sqrt(log_(e)3)),(3^(-log_(1//3)4),,(0.1)^(log_(0.01)4),,7^(log_(7)3)),(7,,3,,5):}|" is equal to ""____"

If (a+(log)_4 3)/(a+(log)_2 3)=(a+(log)_8 3)/(a+(log)_4 3)=b ,then b is equal to 1/2 (2) 2/3 (c) 1/3 (d) 3/2

The value of (6a^((log)_e b)((log)_(a^2)b)((log)_(b^2)a))/(e^((log)_e a(log)_e b)) is (a) independent of a (b) independent of b (c) dependent on a (d) dependent on b

The value of ((log)_2 24)/((log)_(96)2)-((log)_2 192)/((log)_(12)2) is 3 (b) 0 (c) 2 (d) 1

log_(4) 18 is

If A=((log _(2) 3)^(3)-(log _(2) 6)^(3)-(log _(2) 12)^(3)+(log _(2) 24)^(3))/(6) then the value of (2^(A)) is equal to