Question

ПОМОГИТЕ ПОЖАЛУЙСТА!!!!! log0.3 32\log0.3 64

Answer 1

$\frac{log_{0,3}\, 32}{log_{0,3}\, 64}= \frac{log_{0,3}\, 2^5}{log_{0,3}\, 2^6} = \frac{5\cdot log_{0,3}\, 2}{6\cdot log_{0,3}\, 2} =\frac{5}{6}$

Answer 2

Calculating log0.3 32/log0.3 64

To calculate the expression log0.3 32/log0.3 64, we can simplify it step by step.

First, let's calculate log0.3 32: - log0.3 32 = log(32) / log(0.3) [[2 #1]]

Now, let's calculate log0.3 64: - log0.3 64 = log(64) / log(0.3) [[2 #1]]

So, the expression log0.3 32/log0.3 64 can be simplified as: - (log(32) / log(0.3)) / (log(64) / log(0.3))

We can simplify this further using the properties of logarithms.

Let's calculate the value of log(32) / log(0.3) and log(64) / log(0.3) separately: - log(32) / log(0.3) ≈ 4.1918 - log(64) / log(0.3) ≈ 6.2877

Finally, the expression log0.3 32/log0.3 64 ≈ 4.1918 / 6.2877 ≈ 0.6667.

So, log0.3 32/log0.3 64 ≈ 0.6667.