Math, asked by kanchanabandi2, 4 hours ago

please do urgent ..please guys Mark on brainlist on you​

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Answers

Answered by tennetiraj86
1

Step-by-step explanation:

Solutions :-

22.

Given that

log (3+√5) + log (3-√5)

We know that

log ab = log a + log b

=> log [(3+√5)(3-√5)]

This is in the form of (a+b)(a-b)

Where a = 3 and b = √5

We know that

(a+b)(a-b) = a²-b²

=> log [(3)²-(√5)²]

=> log(9-5)

=> log 4

Answer :-

log (3+√5) + log (3-√5) = log 4

23)

Given that

log √x (x) + log c² (c)

=> log x^1/2 (x) + log c² (c)

We know that

log a^m (b^n) = m/n log a (b)

=> 1/2 log x (x) + 2 log c (c)

We know that

log a ( a) = 1

=> (1/2)(1) + 2(1)

=> (1/2)+2

=> (1+4)/2

=> 5/2

Answer:-

log √x (x) + log c² (c) = 5/2

[(x) ,(c) , (a) represents the bases ]

Used formulae:-

  • (a+b)(a-b) = a²-b²

  • log a^m (b^n) = m/n log a (b)

  • log a ( a) = 1
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