Find-the-value-of-x-5-x-5-x-7-100-

Question Number 8635 by tawakalitu last updated on 19/Oct/16

Find the value of x

5^{\sqrt{x}} - 5^{x} - 7 = 100

Answered by ridwan balatif last updated on 19/Oct/16

5^{\sqrt{x}} - 5^{x} = 107

x ⩾ 0

{it}^{'} s impossible if 5^{\sqrt{x}} - 5^{x} have a positive value, so

there is no value of x

example :

if x = 0 \to 5^{\sqrt{0}} - 5^{0} = 0 \to 0 \neq 107

x = 4 \to 5^{\sqrt{4}} - 5^{4} = - 600 \to - 600 \neq 107

x = \frac{1}{2} \to 5^{\frac{1}{4}} - 5^{\frac{1}{2}} \approx - 0.740 \to - 0.740 \neq 107

Commented by tawakalitu last updated on 19/Oct/16

Thank you sir .

Commented by ridwan balatif last updated on 19/Oct/16

your welcome