Answer:
x = log 2 / log 3
x=0.63092
Step-by-step explanation:
3^×=2
Take the log of each side
log 3^×= log2
We know that log a^b = b log a
x log 3 = log 2
Divide each side by log 3
x = log 2 / log 3
x=0.63092
Answer:
x ≈ 0.63093
Step-by-step explanation:
[tex] \small \sf \: 3 {}^{x} = 2[/tex]
Take the log of both side
[tex] \small \sf \: log 3 {}^{x} = log 2[/tex]
Use log a( a ^ x ) = x to simplify the equation
x log 3 = log 2
Divide each side by log 3
x = log 2 / log 3
x ≈ 0.63093
