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4374=2⋅(3)x4374 = 2 \cdot (3)^x

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Full solution

Q. 4374=2⋅(3)x4374 = 2 \cdot (3)^x
  1. Isolate term with exponent: First, let's isolate the term with the exponent by dividing both sides of the equation by 22. So, we get 4374/2=(3)x4374 / 2 = (3)^x.
  2. Perform division: Now, let's do the division.\newline4374/2=21874374 / 2 = 2187.\newlineSo, 2187=(3)x2187 = (3)^x.
  3. Find power of 33: Next, we need to figure out what power of 33 gives us 21872187. We can do this by trial and error or by recognizing that 33 to some powers are: 31=33^1 = 3, 32=93^2 = 9, 33=273^3 = 27, 34=813^4 = 81, 35=2433^5 = 243, 36=7293^6 = 729, 37=21873^7 = 2187. So, x=7x = 7.

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