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224 Chapter 3 Exponential and Logarithmic Functions<br />

116.<br />

24xy 2<br />

16x 3 y 24xx3<br />

16yy 2 3x4<br />

2y 3 117.<br />

2x2<br />

3y 3 <br />

3y<br />

2x 23<br />

3y3<br />

2x 2 3<br />

27y3<br />

8x 6<br />

118. 18x 3 y 4 3 18x 3 y 4 3 18x3 y 4 3<br />

1 if x 0, y 0<br />

18x 3 y 4 3<br />

<br />

119.<br />

xyx 1 y 1 1 <br />

xy<br />

x 1 y 1<br />

<br />

xy<br />

1<br />

x 1 y<br />

120.<br />

x 2 6x 2 0<br />

x <br />

6 ± 36 42<br />

2<br />

3 ± 7<br />

<br />

xy<br />

y x<br />

xy<br />

xy2<br />

x y , x 0, y 0<br />

121.<br />

2x 3 20x 2 50x 0<br />

122.<br />

x 4 19x 2 48 0<br />

2xx 2 10x 25 0<br />

x 2 16x 2 3 0<br />

2xx 5 2 0<br />

x 4x 4x 3x 3 0<br />

x 0, 5, 5<br />

x ±4, ±3<br />

123.<br />

9x 4 37x 2 4 0<br />

124.<br />

x 3 6x 2 4x 24 0<br />

x 2 49x 2 1 0<br />

x 2 x 6 4x 6 0<br />

125.<br />

x 2x 23x 13x 1 0<br />

x ±2, ± 1 3<br />

9x 4 226x 2 25 0<br />

x 2 259x 2 1 0<br />

x 5x 53x 13x 1 0<br />

x ±5, ± 1 3<br />

x 2 4x 6 0<br />

x 2x 2x 6 0<br />

x 2, 2, 6<br />

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