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Jika diketahui log 2=p dan log 3= q maka nilai dari log 36 adalah.... (2.5 Poin) A. P+2q B. 2p+q 2(p+q) P+q 2pq

Jika diketahui log⁡2=p \log 2=p dan log⁡3= \log 3= q maka nilai dari log 3636 adalah....\newline* (22.55 Poin)\newlineA. P+2q P+2 q \newlineB. 2p+q 2 p+q \newline2(p+q) 2(p+q) \newlineP+q P+q \newline2pq 2 p q

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Full solution

Q. Jika diketahui log⁡2=p \log 2=p dan log⁡3= \log 3= q maka nilai dari log 3636 adalah....\newline* (22.55 Poin)\newlineA. P+2q P+2 q \newlineB. 2p+q 2 p+q \newline2(p+q) 2(p+q) \newlineP+q P+q \newline2pq 2 p q
  1. Break down log⁡36\log 36: log⁡36\log 36 can be written as log⁡(62)\log(6^2) which is the same as 2×log⁡62 \times \log 6.
  2. Further breakdown of log 66: log⁡6\log 6 can be further broken down into log⁡(2×3)\log(2 \times 3) which is log⁡2+log⁡3\log 2 + \log 3.
  3. Substitute given values: Substitute the given values: log⁡2=p\log 2 = p and log⁡3=q\log 3 = q. So, log⁡6=p+q\log 6 = p + q.
  4. Calculate log⁡36\log 36: Now, multiply the log⁡6\log 6 by 22 to get the value of log⁡36\log 36. So, log⁡36=2×(p+q)\log 36 = 2 \times (p + q).
  5. Final answer and error check: The final answer is log⁡36=2p+2q\log 36 = 2p + 2q, but this is not one of the options provided. Oops, looks like I made a mistake in the options. Let's check again.

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