Question

Tìm x:

a/4^x+3 - 3.4^x+1 = 13.4¹¹

b/11.6^x-1 + 2.6^x+1 = 11.6¹¹ + 2.6¹³

 

Answer 1

\(\text{a) Ta co }\) \(4^{x+3}-3.4^{x+1}=13.4^{11}\)

\(\Rightarrow\)       \(4^{x+1}\left(16-3\right)=13.4^{11}\)

\(\Rightarrow4^{x+1}.13=13.4^{11}\)

\(\Rightarrow4^{x+1}=4^{11}\)

\(\Rightarrow x+1=11\)

\(\Rightarrow\text{x=10}\)

Answer 2

a) 

\(4^{x+3}-3.4^{x+1}=13.4^{11}\)

<=> \(4^{x+1}\left(16-3\right)=13.4^{11}\)

<=> \(4^{x+1}.13=13.4^{11}\)

<=> \(4^{x+1}=4^{11}\)

<=> \(x+1=11\)

<=> x=10