How do you solve log(2)(16)^(1/3)?????????/ 10 points!!!!!?

2009-01-04 10:04 am

log of little base 2 than 16 that exponent 1/3??????

更新1:

how do u get it though?

回答 (4)

2009-01-04 10:08 am

✔ 最佳答案

log(2) (2^4/3) = 4/3

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2009-01-04 10:17 am

Let log be log to base 2 : -
log 16^(1/3)
(1/3) log 16
(1/3) (4)
4 / 3

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2009-01-04 10:12 am

log₂ 16^1/3
= ⅓log₂ 16
= ⅓log₂ 2^4
= (4)(⅓)(log₂ 2)
= (4)(⅓)(1)
= 4/3

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2009-01-04 10:10 am

log_(2)16^(1/3) = x
x = (1/3)log_2(16)
x/(1/3) = log_2(16)
3x = log_2(16)
2^(3x) = 16
2^(3x) = 2^4
3x = 4
x = 4/3

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