The value of the variable x will be 1.026.
The equation is given below.
7³ˣ = 400
Taking log on both sides, then we have
log 7³ˣ = log 400
We know the property of the logarithm.
log aⁿ = n log a
Then we have
3x log 7 = log 400
3x = 3.08
x = 1.026
More about the solution of the equation link is given below.
https://brainly.com/question/545403
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