Question

Solve the equation log^7b>2

Answer 1

b > 12.71

Explanation:

Here in this question we have to solve the inequality equation given for b (An unknown variable}

Now, the equation is
`(\log b)^(7) > 2`

⇒
`\log b > 2^{(1)/(7) }`

We are taking the base of the log here is 10.

So,
`10^((\log b)) > 10^{2^{(1)/(7) } }` {Since
`10^(\log x) =x` and
`e^(\ln x) = x`}

⇒ b > 12.71 (Approximate) (Answer)