↵Solve this: 74 If 2x+1+3 2x-3=76, find x - Maths - Real Numbers

Question

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Solve this:
74 I f   2 x + 1 + 3 2 x - 3 = 76 ,   f i n d  
x

Abhishek Jha · Accepted Answer

Dear Student,
Here is the solution of your asked query:
2x+1+3
2x-3=76⇒2x×2+3×2x23=2×19×2                      {Since am+n=am×an and am-n=aman}⇒2x×2×23+3×2x23=2×19×2⇒2x×2×23+3×2x=22×19×23⇒2x×24+3×2x=25×19⇒2x24+3=25×19⇒2x×19=25×19⇒2x=25So, x=5
Regards

↵ Solve this: 74. I f 2 x + 1 + 3 . 2 x - 3 = 76 , f i n d x .

↵ Solve this:
74. $I f 2^{x + 1} + 3 . 2^{x - 3} = 76, f i n d x$ .