Question

[Cao Thanh Thủy]

(3.x - 2 mũ 4) : 7 mũ 3 = 2.7 mũ 4

Answer 1

[Phạm Quang Lộc]

\((3.x-2^{4} ):7^3 =2.7^{4}\)

\(=>(3.x-16):7^{3} =2.7^{4}\)

\(=>3.x-16=2.7^{4}:7^{3}\)

\(=>3.x-16=2.7^{4-3}\)

\(=>3.x-16=2.7\)

\(=>3.x-16=14\)

\(=>3.x=14+16\)

\(=>3.x=30\)

\(=>x=30:3\)

\(=>x=10\)

Answer 2

[Nguyễn Đức Trí]

\(\left(3x-2^4\right):7^3=\left(2.7\right)^4\)

\(\Rightarrow\left(3x-2^4\right)=2^4.7^4.7^3\)

\(\Rightarrow3x-2^4=2^4.7^7\)

\(\Rightarrow3x=2^4.7^7+2^4\)

\(\Rightarrow3x=2^4.\left(7^7+1\right)=16\left(7^7+1\right)\)

\(\Rightarrow x=\dfrac{16\left(7^7+1\right)}{3}\)