what is the value of $log_{7}343$?\n-3\n$-\frac{1}{3}$\n$\frac{1}{3}$\n3
what is the value of $log_{7}343$?\n-3\n$-\frac{1}{3}$\n$\frac{1}{3}$\n3
Answer
Explanation:
Step1: Recall logarithm definition
If $y = \log_{a}x$, then $x=a^{y}$. Let $y=\log_{7}343$, so $7^{y}=343$.
Step2: Express 343 as a power of 7
We know that $7\times7\times7 = 7^{3}=343$.
Step3: Find the value of y
Since $7^{y}=343 = 7^{3}$, then $y = 3$.
Answer:
D. 3