Question

Find x if 2 log 5 + 1/2 log 9 – log 3 = log x ?​

Answer 1

Answer:

The value of x is 25.

Step-by-step explanation:

Given that 2 log 5 + $\frac{1}{2}$ log 9 – log 3 = log x

We know that n log m = log $m^{n}$

Therefore this can also be written as log 5² + $\frac{1}{2}$ log 3² - log 3 = log x

=> log 25 + $\frac{1}{2}$ *2 log 3 - log 3 = log x

=> log 25 + log 3 - log 3 = log x

=> log 25 = log x

Taking antilog,

x=25

Therefore, the value of x is 25.