Question

Log₁₆ 8= какой ответ

Answer 1

Log(16)8=3log(16)=2=3*1/4=3/4

Answer 2

И.к 16 =2⁴, а 8=2³
$log_{16}(8) = log_{ {2}^{4} }( {2}^{3} ) = \frac{3}{4} = 0.75$

Answer 3

To find the value of the expression "log₁₆ 8," we need to determine what exponent we need to raise 16 to in order to get 8.

In mathematical notation, the expression "log base 16 of 8" is written as:

log₁₆ 8 = x

This means we need to find the value of 'x' such that 16^x = 8.

To solve for 'x,' we can rewrite the equation as:

16^x = 8

Then, we can rewrite 8 as a power of 16:

16^x = 16^(3/2)

Now, since the bases are the same (both are 16), we can set the exponents equal to each other:

x = 3/2

So the answer is:

log₁₆ 8 = 3/2