Question

tìm x

a) 2^3x+2=4^x+5

Answer 1

Lời giải:
\(2^{3x+2}=4^{x+5}=(2^2)^{x+5}=2^{2x+10}\)

\(\Rightarrow 3x+2=2x+10\)

\(\Leftrightarrow x=8\)

Answer 2

\(2^{3x+2}=4^{x+5}\)

\(\Leftrightarrow2^{3x+2}=\left(2^2\right)^{x+5}\)

\(\Leftrightarrow2^{3x+2}=2^{2x+10}\)

\(\Leftrightarrow3x+2=2x+10\)

\(\Leftrightarrow3x-2x=10-2\)

\(\Leftrightarrow x=8\)

Vậy : \(x=8\)