Question

(x-1)²=25

3^x=27

2^x-1=32

3^x-2=81

 

Answer 1

\(\left(x-1\right)^2=25\\ \Rightarrow\left(x-1\right)^2=5^2\\ \Rightarrow x-1=5\\ \Rightarrow x=6\)

\(3^x=27\\ \Rightarrow3^x=3^3\\ \Rightarrow x=3\)

\(2^{x-1}=32\\ \Rightarrow2^{x-1}=2^5\\ \Rightarrow x-1=5\\ \Rightarrow x=6\)

\(3^{x-2}=81\\ \Rightarrow3^{x-2}=3^4\\ \Rightarrow x-2=4\\ \Rightarrow x=6\)

Answer 2

\(\left(x-1\right)^2=25\)

\(\left(x-1\right)^2=5^2\)

\(x-1=5\)

\(x=6\)

 

\(3^x=27\)

\(3^x=3^3\)

\(=3\)

 

\(2^{x-1}=32\)

\(2^{x-1}=2^5\)

\(x-1=5\)

x\(x=6\)

 

\(3^{x-2}=81\)

\(3^{x-2}=3^4\)

\(x-2=4\)

\(x=6\)