Question

Please help me on this please

Answer 1

Answer:

B

Step-by-step explanation:

Use the properties of logs.

Answer 2

By definition, we have the following logarithm properties:

$log (A * B) = log (A) + log (B)\\log (A ^ n) = n * log (A)\\log (\sqrt [n] {A}) = \frac {1} {n} * log (A)$

Now, we can rewrite the given expression as:

$log_ {5} [((5x ^ 3) ^ 2) * \sqrt [3] {x ^ 2 + 6}] =\\log_ {5} (5x ^ 6 * \sqrt [3] {x ^ 2 + 6})$

Answer:

Option B