Home
Class 11
MATHS
Find the value of ((log)3 4)((log)4 5)((...

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

Text Solution

AI Generated Solution

To find the value of the expression \(((\log_3 4)(\log_4 5)(\log_5 6)(\log_6 7)(\log_7 8)(\log_8 9))\), we can use the change of base formula for logarithms. The change of base formula states that: \[ \log_a b = \frac{\log b}{\log a} \] ### Step-by-step Solution: ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • LINEAR INEQUALITIES

    CENGAGE ENGLISH|Exercise All Questions|68 Videos
  • PERMUTATIONS AND COMBINATIONS

    CENGAGE ENGLISH|Exercise All Questions|444 Videos

Similar Questions

Explore conceptually related problems

Find the value of (1/(49))^(1+(log)_7 2)+5^(-1(log)_((1/5))(7))

Find the value of 81^((1//log_5 3))+(27^(log_9 36)) + 3^((4/(log_7 9))

Find the value of 2log2/5 +3 log25/8 -log 625/128

Comprehension 2 In comparison of two numbers, logarithm of smaller number is smaller, if base of the logarithm is greater than one. Logarithm of smaller number is larger, if base of logarithm is in between zero and one. For example log_2 4 is smaller than (log)_2 8\ a n d(log)_(1/2)4 is larger than (log)_(1/2)8. Identify the correct order: (log)_2 6 (log)_3 8> log_3 6>(log)_4 6 (log)_3 8>(log)_2 6> log_3 6>(log)_4 6 (log)_2 8<(log)_4 6

Find the value of (log)_2(2 9 3-2)+(log)_2(12 3 3+4+4 9 3)dot

The value of N=((log)_5 250)/((log)_(50)5)-((log)_5 10)/((log)_(1250)5) is...........

Find the value of the expressions (log2)^3+log8.log(5)+(log5)^3 .

Which of the following when simplified, vanishes? a. 1/((log)_3 2)+2/((log)_9 4)-3/((log)_(27)8) b. (log)_2(2/3)+(log)_4(9/4) c. -(log)_8(log)_4(log)_2 16 d. (log)_(10)cot1^0+\ (log)_(10)cot2^0+(log)_(10)cot3^0++(log)_(10)cot89^0

Solve (log)_4 8+(log)_4(x+3)-(log)_4(x-1)=2.

Evaluate the determinant =|((log)_3 512,(log)_4 3),((log)_3 8,(log)_4 9)| .