Question

These are for corrections. What is number 15?

Answer 1

Answer:

$x = 2\sqrt{10}$

Step-by-step explanation:

We have to solve for x from the logarithmic equation as follows:

$\log x^{2} + \log 25 = 3$

⇒ $\log 25x^{2} = 3$  

{Since, using logarithmic property $\log A + \log B = \log AB$}

Now, converting this logarithmic equation above into exponential equation we get,

$25x^{2} = 10^{3}$  

{Since we know that if $\log_{10}a = b$ then, we can write $a = 10^{b}$}

⇒ $25x^{2} = 1000$

⇒ $x^{2} = 40$

⇒ $x = 2\sqrt{10}$ (Answer)