Search any question & find its solution
Question:
Answered & Verified by Expert
$7^{2 \log _{7} 5}$ is equal to
Options:
Solution:
1046 Upvotes
Verified Answer
The correct answer is:
25
Given, $7^{2 \log _{7} 5}$
$$
\begin{aligned}
&=7^{\log _{7}(5)^{2}} \quad\left[\because a^{\log _{a} x}=x, x>0, x \neq 0,1\right] \\
&=(5)^{2}=25
\end{aligned}
$$
$$
\begin{aligned}
&=7^{\log _{7}(5)^{2}} \quad\left[\because a^{\log _{a} x}=x, x>0, x \neq 0,1\right] \\
&=(5)^{2}=25
\end{aligned}
$$
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.