Question

Find the value of 5 ^ (2 + log 5 ^ 7)​

Answer 1

Answer:

The answer is 175

Step-by-step explanation:

$5^{2+\log_57}=5^2\times 5^{\log_57}$ $\boxed{\because a^{m+n}=a^m\times a^n}$

              $=25(7)$   $\boxed{\because a^{\log_ax}=x}$

               $=175$

Note: $\boxed{\because a^{\log_ax}=x}$ is an important formula in logarithm, which are use many chapters like, differentiation, integration etc.