5-x-5-x-7-100-Find-the-value-of-x-x-9-please-workings-

Question Number 7500 by Tawakalitu. last updated on 31/Aug/16

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

F i n d t h e v a l u e o f x .

x = 9 p l e a s e w o r k i n g s .

Answered by sandy_suhendra last updated on 01/Sep/16

i s t h i s t r u e ?

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

5^{\sqrt{x}} - 5^{x - 7} = 125 - 25

5^{\sqrt{x}} - 5^{x - 7} = 5^{3} - 5^{2}

s o 5^{\sqrt{x}} = 5^{3} o r 5^{x - 7} = 5^{2}

\sqrt{x} = 3 x - 7 = 2

x = 9 x = 9

Commented by Yozzia last updated on 01/Sep/16

Commented by Yozzia last updated on 01/Sep/16

T h e r e a r e t w o s o l u t i o n s .

Commented by Tawakalitu. last updated on 01/Sep/16

T h a n k s s o m u c h