Steps 4 and 5 are being used to get the equation in step 6.
Steps 5 and 7 are being used to get the equation in step 8.
Steps 8 and 6 are being used to get the equation in step 9.
In step 14, "similar argument" means to draw segment BD and follow the same logic in steps 3-12.
The value of logarithm expression 2log₅(5x³) + (1/3)log₅(x² + 6) is simplified as log₅[{25x⁶}{∛(x² + 6)}].
<h3>What is a logarithm?</h3>
Logarithms are another way of writing exponent. A logarithm with a number base is equal to the other number. It is just the opposite of the exponent function.
The logarithmic expression is given as
![2\log _55x^3 + \dfrac{1}{3} \log _5(x^2 +6)](https://tex.z-dn.net/?f=2%5Clog%20_55x%5E3%20%2B%20%5Cdfrac%7B1%7D%7B3%7D%20%5Clog%20_5%28x%5E2%20%2B6%29)
We know that formulas
![a \log b = \log b^a\\\\\log a + \log b = \log ab](https://tex.z-dn.net/?f=a%20%5Clog%20b%20%3D%20%5Clog%20b%5Ea%5C%5C%5C%5C%5Clog%20a%20%2B%20%5Clog%20b%20%3D%20%5Clog%20ab)
Then we have
![\rightarrow \log _5(5x^3)^2 + \log _5(x^2 +6)^{1/3}\\\\\rightarrow \log _525x^6 + \log _5\sqrt[3]{(x^2 +6)}\\\\\rightarrow \log _5 25x^6 (\sqrt[3]{(x^2 +6)})](https://tex.z-dn.net/?f=%5Crightarrow%20%5Clog%20_5%285x%5E3%29%5E2%20%2B%20%20%5Clog%20_5%28x%5E2%20%2B6%29%5E%7B1%2F3%7D%5C%5C%5C%5C%5Crightarrow%20%5Clog%20_525x%5E6%20%2B%20%20%5Clog%20_5%5Csqrt%5B3%5D%7B%28x%5E2%20%2B6%29%7D%5C%5C%5C%5C%5Crightarrow%20%5Clog%20_5%2025x%5E6%20%28%5Csqrt%5B3%5D%7B%28x%5E2%20%2B6%29%7D%29)
More about the logarithm link is given below.
brainly.com/question/7302008
Answer:
Hmmm maybe d if it's not d I'm sorry at least I helped you
Answer:
28 pounds of carrots.
Step-by-step explanation:
25+3=28