if 2^x * 4^x = 8^(1/3) * 32^(1/5) find x

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Solution

2x x 4x = 81/3 x 321/5
=(23)1/3 (25)1/5

= 2 x 2

= 4

2x x 4x = (2 x 4)x

= 8x

So,

8x = 4

23x=22

x = 2/3

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if 2^x * 4^x = 8^(1/3) * 32^(1/5) find x

2x x 4x = 81/3 x 321/5 =(23)1/3 (25)1/5 = 2 x 2 = 4 2x x 4x = (2 x 4)x = 8x So, 8x = 4 23x=22 x = 2/3

2x x 4x = 81/3 x 321/5
=(23)1/3 (25)1/5

= 2 x 2

= 4

2x x 4x = (2 x 4)x

= 8x

So,

8x = 4

23x=22

x = 2/3