answer and solution work log base 16 of 4?
回答 (6)
✔ 最佳答案
log_16(4)
= log_(4^2)(4)
= [log_4(4)]/2
= 1/2
log_16 4
=log_16 sqrt(16)
=(1/2) x log_16 16
= 1/2
log base 16 4 = x
so 16^x=4
so x=1/2
Let x = log (base 16) 4
Then, 16^x = 4
16 raised to power .'what number' is 4?
since sqrt(16) =4 , 16^(1/2) = 4
square root and power 1/2 are the same.
x=1/2
log base 16 of 4 is 1/2
There are a few ways to do this.
Method 1: log_16 4 = ln4 / ln16 = ln4 / ln(4^2) = ln4 / 2ln4 = 1/2
Method 2: log_16 4 = log_16 16^(1/2) = (1/2) log_16 16 = (1/2)*1 = 1/2
Let log be log to base 16
x = log 4
16^x = 4
x = 1/2
收錄日期: 2021-05-01 22:58:24
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