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. The solution of the equation1log 3 x in the real domain isa)1x b)1x c)3x d)0x e)3

Question

The solution of the equation log⁡3x \log_3 x in the real domain is:

a) 1<x 1 < x
b) 1>x 1 > x
c) 3<x 3 < x
d) 0>x 0 > x
e) 3 3

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Solution

The given equation is 1 < log3(x).

Step 1: Understand the equation This equation is asking for which values of x, the logarithm base 3 of x is greater than 1.

Step 2: Solve the inequality To solve this inequality, we need to get rid of the logarithm. We can do this by raising both sides of the equation as powers of 3.

So, we get 3^1 < x, which simplifies to 3 < x.

So, the solution to the equation in the real domain is c) 3 < x.

This problem has been solved

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