Home
Class 12
MATHS
Evaluate log((8xx4 sqrt5)/81)...

Evaluate `log((8xx4 sqrt5)/81)`

Text Solution

AI Generated Solution

To evaluate the logarithm \( \log\left(\frac{8 \times 4 \sqrt{5}}{81}\right) \), we will follow these steps: ### Step 1: Rewrite the numbers in terms of their prime factors We can express the numbers in the logarithm in terms of their prime factors: - \( 8 = 2^3 \) - \( 4 = 2^2 \) - \( \sqrt{5} = 5^{1/2} \) ...
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|49 Videos
  • MATRIX

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|46 Videos

Similar Questions

Explore conceptually related problems

Evaluate: log_(sqrt(5)).008

Evaluate : ( sqrt(8) - sqrt(2) ) times ( sqrt(8) + sqrt(2) )

Evaluate the following: (i) sqrt(-25)xx(-81) (ii) sqrt(-36)xxsqrt(16) (iii) 4sqrt(-4)+5sqrt(-9)-3sqrt(-16)

The value 4^(5log_(4sqrt(2))(3-sqrt(6))-6log_(8)(sqrt(3)-sqrt(2))) is

Evaluate : ( sqrt5 - sqrt2 ) times ( sqrt5 + sqrt2 )

Evaluate : ( 3 + sqrt5 )^2 times (3- sqrt5)^2 = ?

find the value of log_(sqrt8)16

Evaluate: sqrt ((16)/(81))