Question

64^x.16^x=256^12:1024

 

Answer 1

64^x.16^x=256¹²:1024

1024^x=4⁴³

4^5x=4⁴³

5x=43

x=8,6

Answer 2

\(64^x.16^x=256^{12}:1024\)

\(\Rightarrow\) \(\left(4^3\right)^x.\left(4^2\right)^x=\left(4^4\right)^{12}:4^5\)

\(\Rightarrow\) \(4^{3x}.4^{2x}=4^{48}:4^5\)

\(\Rightarrow\) \(4^{3x+2x}=4^{43}\)

\(\Rightarrow\) \(3x+2x=43\)

\(\Rightarrow\) \(\left(3+2\right)x=43\)

\(\Rightarrow\) \(5x=43\)

\(\Rightarrow\) \(x=\frac{43}{5}\)

Answer 3

64^x.16^x=256¹²:1024

1024^x=4⁴³

4^5x=4⁴³

5x=43

x=8,6