Question

1)7,2log 7,2(6) +4 2)log корень из 3 1/2 4)log5 216/log 5 36

Answer 1

в первом логарифм из числа 1/2 по основанию √3?

4. log5 216:log5 36=log36 216= log6^2 6^3=3:2=1,5

Answer 2

It looks like you've provided a list of mathematical expressions involving logarithms. Let's go through each of them step by step:

1. $7^{2\log_7(2)} + 4$: First, note that $7^{2\log_7(2)}$ can be simplified using the logarithm property $a^{\log_a(b)} = b$. Therefore, $7^{2\log_7(2)} = 2^2 = 4$. So, the expression becomes $4 + 4$, which equals $8$.

2. $\log\left(\sqrt{\frac{3}{2}}\right)$: This can be further simplified using the logarithm property $\log(a/b) = \log(a) - \log(b)$. $\log\left(\sqrt{\frac{3}{2}}\right) = \frac{1}{2} \log\left(\frac{3}{2}\right)$.

3. $\log_5(216) / \log_5(36)$: This expression involves logarithms with the same base ($5$), so you can use the logarithm division property: $\log_a(b) / \log_a(c) = \log_c(b)$. $\log_5(216) / \log_5(36) = \log_{36}(216)$.

Keep in mind that these simplified forms are based on the given expressions and the properties of logarithms. If you have specific numerical values, you can substitute them in to calculate the actual results.