Question

(g) log49(log2(5x-2)=1/2

Answer 1

Answer:

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Answer 2

Value of x is 26 if log₄₉(log₂(5x-2)) = 1/2

Given:

• log₄₉(log₂(5x-2)) = 1/2

To Find:

• Value of x

Solution:

• logₐy  = b  => aᵇ = y

log₄₉(log₂(5x-2)) = 1/2

Step 1:

Using logₐy  = b  => aᵇ = y where a = 49 , b = 1/2  and y =   log₂(5x-2)

√49  =  log₂(5x-2)   (∵ 1/2 power is Equivalent to square root)

=> 7 = log₂(5x-2)

=> log₂(5x-2) =7

Step 2:

Again using  logₐy  = b  => aᵇ = y where a =2 , b = 7  and y =   (5x-2)

2⁷ = 5x - 2

=> 128 = 5x - 2

=> 130 = 5x

=> 26 = x

Hence , Value of x is 26