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Nadya [2.5K]
3 years ago
8

The solution of the equation3^×=2 is

Mathematics
2 answers:
krek1111 [17]3 years ago
6 0

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

natta225 [31]3 years ago
4 0

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

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