If logo 24 = a, then the value of log18 36, is k , where ke N. The value of kis 5-a
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The question mentioned is faulty. The values provided are not correct. The solution with correct values is mentioned below.
The required value is -10.
GIVEN: log₁₈³⁶ = a , log₂₄⁷² = b
TO FIND: 4(a+b) - 5ab
SOLUTION:
As we are given,
log₁₈³⁶ = a
Implying that,
18ᵃ = 36
18 * 2 = 36
Similarly,
24ᵇ = 72
24 * 3 = 72
Therefore,
a = 2
b = 3
Now,
4(a+b) -5ab
= 4(2+3) - 5.2.3
= 4(5) - 30
= 20 - 30
= -10
Therefore, the required value is -10
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