Question

The solution of the equation3^×=2 is

Answer 1

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 2

Answer:

x ≈ 0.63093

Step-by-step explanation:

$\small \sf \: 3 {}^{x} = 2$

Take the log of both side

$\small \sf \: log 3 {}^{x} = log 2$

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