Answer:
x = 80.34 (2 dp)
Step-by-step explanation:
[tex]2\ln(x)+7=\ln(4x)+10[/tex]
[tex]\implies \ln(x^2)+7=\ln(4x)+10[/tex]
[tex]\implies \ln(x^2)-\ln(4x)=10-7[/tex]
[tex]\implies \ln\left(\dfrac{x^2}{4x}\right)=3[/tex]
[tex]\implies \ln\left(\dfrac{x}{4}\right)=3[/tex]
[tex]\implies e^{\ln\left(\dfrac{x}{4}\right)}=e^3[/tex]
[tex]\implies \dfrac{x}{4}=e^3[/tex]
[tex]\implies x=4e^3[/tex]
[tex]\implies x=80.34 \textsf{ (2 dp)}[/tex]
