Question

Solve the equation for x:
lnx^1/2-2ln3=0

Answer 1

So far I got ln (x^1/2 / 2.3)=0 I JUST DON'T KNOW HOW TO SOLVE FOR X FROM HERE

Answer 2

\[\ln \frac{x ^\frac{1}{2}}{9}=0\]

Answer 3

\[\ln (x)^{1/2}-2 \ln (3) = 0 \rightarrow \frac{ 1 }{ 2 } \ln (x) - 2 \ln(3) = 0 \rightarrow \ln (x) = 4 \ln (3) \rightarrow \ln(x) = \ln(3)^4\]\[\rightarrow \ln(x) = \ln(81) \implies x = 81\]
@aebiri2

Answer 4

\[e^0=\frac{\sqrt{x}}{9}=1\]

Answer 5

Square both sides:
\[\frac{x}{81}=1\]

Answer 6

\[x=81\]

Answer 7

Thanks guys!

Answer 8

I understood both methods