Question

solve 2^x=3^(x-2)
pls help me with this​

Answer 1

Answer:

x = 2 log 3 / (log 3 - log 2)

 = 5.41902258270291

Step-by-step explanation:

Take log on both sides

x log 2 = (x-2) log 3

Now this becomes a linear equation in x

x log 2 = x log 3 - 2 log 3

x (log 2 - log 3) = -2 log 3

Therefore x = 2 log 3 / (log 3 - log 2)

Answer 2

Answer:

Step-by-step explanation:

$2^{x} = 3^{x - 2 }$

$2^{x} = \frac{3^{x} }{3^{2} }$       since $\frac{a^{m} }{a^{n} } = a^{m-n}$

$2^{x}$ = $\frac{3^{x}}{9}$