Question

Tim x

a,3^x+1=9^x

b,2^3x+2=4^x+5

GIÚP MIK VỚI NHE

Answer 1

a) \(3^{x+1}=9^x\)

\(\Rightarrow3^{x+1}=\left(3.3\right)^x\)

\(\Rightarrow3^{x+1}=3^{3x}\)

\(\Rightarrow x+1=3x\)

\(\Rightarrow3x-x=2x=1\)

\(\Rightarrow x=1\)

b) \(2^{3x+2}=4^{x+5}\)

\(2^{3x+2}=\left(2.2\right)^{x+5}\)

\(\Rightarrow2^{3x+2}=2^{2\left(x+5\right)}=2^{2x+10}\)

\(\Rightarrow3x+2=2x+10\Rightarrow3x+2=2x+2+8\)

\(\Rightarrow3x=2x+8\Rightarrow3x-2x=8\)

\(\Rightarrow1x=8\Rightarrow x=8\)