Simplify. Enter the result as a single logarithm with a coefficient of 1.
To enter the log, click in the answer cell, then click on the small yellow arrow on the right. Then click the Functions tab to access the log. If needed, you can change the base.
Using the keyboard, you can also enter $\log _{3}\left(\frac{x^{2}}{2}\right)$ as $\log _{-} 3\left(x^{\wedge} 2 / 2\right)$.
\[
\log _{7}\left(4 x^{4}\right)-\log _{7}(11 x)=
\]
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Answer
This is the simplest form of the given expression, so the final answer is \( \boxed{\log _{7}\left(\frac{4 x^{3}}{11}\right)} \).
Step 1 ：The given expression is \( \log _{7}\left(4 x^{4}\right)-\log _{7}(11 x) \).
Step 2 ：According to the properties of logarithms, the subtraction of two logarithms with the same base can be rewritten as the logarithm of the quotient of their arguments.
Step 3 ：So, we can rewrite the expression as: \( \log _{7}\left(\frac{4 x^{4}}{11 x}\right) \).
Step 4 ：Simplify the fraction inside the logarithm: \( \log _{7}\left(\frac{4 x^{3}}{11}\right) \).
Step 5 ：This is the simplest form of the given expression, so the final answer is \( \boxed{\log _{7}\left(\frac{4 x^{3}}{11}\right)} \).
