Question

Log 0,5 8 Помогите решить задачу,

Answer 1

Ответ:

$log_{0.5}(8) = log_{ {2}^{ - 1} }( {2}^{3} ) = - 3$

Answer 2

Problem Statement

You need help solving a problem involving logarithms. The problem is as follows: `log 0.5 8`.

Solution

To solve the problem `log 0.5 8`, we need to find the logarithm of 8 with base 0.5.

The logarithm of a number with a given base is the exponent to which the base must be raised to obtain that number. In this case, we need to find the exponent to which 0.5 must be raised to obtain 8.

To find the logarithm of 8 with base 0.5, we can use the logarithmic identity:

log base b of a = log base c of a / log base c of b

In this case, we can rewrite `log 0.5 8` as `log 8 / log 0.5`.

Let's calculate the logarithm using this formula:

log 0.5 8 = log 8 / log 0.5

Now, let's calculate the logarithm of 8 and the logarithm of 0.5:

log 8 = 3.

log 0.5 = -1.

Substituting these values into the formula, we get:

log 0.5 8 = 3 / -1 = -3.

Therefore, the value of `log 0.5 8` is -3.

I hope this helps! Let me know if you have any further questions.