Contract each log expression on the left and match to its simplified form on the right. 1. log(4x2) 2. log(x2?1) log(4)?2log(x) 3. log(x+1(x?1)4?) log(4)?4log(x?1)?4log(x+1) 4. log((x?1)44x+4?) log(x?1)+log(x+1) 5. log(8x) log(4)+2log(x) 6. log(x+1)log(x?1) 4log(x?1)?log(x+1) 7. log(x+1)4log(x?1)? 8. log(x+14x?4?) log(4)+log(x+1)?4log(x?1) 9. log( solutionspile.com

Question

Contract each log expression on the left and match to its simplified form on the right. 1.

lo g (4 x^{2})

2.

lo g (x^{2} ? 1)

lo g (4) ? 2 lo g (x)

3.

lo g (\frac{( x ? 1 ) ^{4}}{x + 1})

lo g (4) ? 4 lo g (x ? 1) ? 4 lo g (x + 1)

4.

lo g (\frac{4 x + 4}{( x ? 1 ) ^{4}})

lo g (x ? 1) + lo g (x + 1)

5.

lo g (8 x)

lo g (4) + 2 lo g (x)

6.

lo g (x + 1) lo g (x ? 1)

4 lo g (x ? 1) ? lo g (x + 1)

7.

\frac{4 l o g ( x ? 1 )}{l o g ( x + 1 )}

8.

lo g (\frac{4 x ? 4}{x + 1})

lo g (4) + lo g (x + 1) ? 4 lo g (x ? 1)

9.

lo g (\frac{4}{x ^{2}})

10.

lo g (\frac{4}{( x ^{2} ? 1 ) ^{4}})

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