Question

These are for corrections. What is number 15?

Answer 1

`x = 2√(10)`

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√(10)` (Answer)