Write each expression as a singie logarithms. 2\log_2(x+1)-\log_2(x+3)-\l

fortdefruitI

fortdefruitI

Answered question

2021-11-04

Write each expression as a singie logarithms.
2log2(x+1)log2(x+3)log2(x1)

Answer & Explanation

likvau

likvau

Skilled2021-11-05Added 75 answers

Step 1: Given Expression
2log2(x+1)log2(x+3)log2(x1)
Step 2: To Write
The Given expression as a single logarithms
Step 3: Formula Used
logalogb=log(ab)
mloga=logam
loga+logb=log(ab)
Step 4: Solution to the question
We have,
2log2(x+1)log2(x+3)log2(x1)=log2(x+1)2log2(x+3)log2(x1)
=log2(x+1)2x+3log2(x1)
=log2(x+1)2(x+3)(x1)

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