195k views
1 vote
The solution of the equation3^×=2 is

User Rftr
by
7.5k points

2 Answers

1 vote

Answer:

x ≈ 0.63093

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

User Niana
by
7.9k points
1 vote

Answer:

x = log 2 / log 3

x=0.63092

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

User Ahmad Hajou
by
8.3k points

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