Question

Tìm x :

a) 5/3 : 0,5 = 4/3 : 0,1 . X

b) 18^16 = 2x . 3^32

Answer 1

a) 5/3 : 0,5 = 4/3 : 0,1 . x

10/3 = 40/3.x

x = 1/4

b) 18¹⁶ = 2x.3³²

2¹⁶.(3²)¹⁶ = 2x .3³²

2¹⁶.3³² = 2x.3³²

=> 2¹⁶ = 2.x

=> x = 2¹⁶ : 2 = 2¹⁵

Answer 2

\(a.\frac{5}{3}:0,5=\frac{4}{3}:0,1\times x\)

\(\Leftrightarrow\frac{4}{3}:0,1\times x=\frac{10}{3}\)

\(\frac{4}{3}:0,1=\frac{10}{3}:x\)

\(\frac{40}{3}=\frac{10}{3}:x\)

\(\Rightarrow x=\frac{10}{3}:\frac{40}{3}\)

\(x=\frac{1}{4}\)

\(b.18^{16}=2x.3^{32}\)

\(2^{16}.\left(3^{16}\right)^2=2x.3^{32}\)

\(2^{16}.\left(3^{32}\right)=2x.3^{32}\)

\(2^{16}=2x\)

\(\Rightarrow x=2^{16}:2\)

\(x=2^{15}\)

\(\)