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Answer :
Sure! Let's solve the problem step-by-step:
We are given the equation [tex]\(\log(x) = 2\)[/tex].
1. Understanding Logarithms:
- When we have a logarithmic expression like [tex]\(\log(x)\)[/tex], and there's no base number written, it means the base is 10. This is commonly known as the "common logarithm."
2. Interpreting the Equation:
- The equation [tex]\(\log(x) = 2\)[/tex] means that we are looking for a number [tex]\(x\)[/tex] such that when 10 is raised to some power, it equals [tex]\(x\)[/tex].
- In logarithmic form, this means: [tex]\(10^b = x\)[/tex], where [tex]\(b\)[/tex] is the value that [tex]\(\log(x)\)[/tex] equals, which in this case is 2.
3. Finding the Value of x:
- Solving the equation [tex]\(10^2 = x\)[/tex], we find that [tex]\(x = 10 \times 10 = 100\)[/tex].
So, the value of [tex]\(x\)[/tex] is 100. This is the answer to the problem.
We are given the equation [tex]\(\log(x) = 2\)[/tex].
1. Understanding Logarithms:
- When we have a logarithmic expression like [tex]\(\log(x)\)[/tex], and there's no base number written, it means the base is 10. This is commonly known as the "common logarithm."
2. Interpreting the Equation:
- The equation [tex]\(\log(x) = 2\)[/tex] means that we are looking for a number [tex]\(x\)[/tex] such that when 10 is raised to some power, it equals [tex]\(x\)[/tex].
- In logarithmic form, this means: [tex]\(10^b = x\)[/tex], where [tex]\(b\)[/tex] is the value that [tex]\(\log(x)\)[/tex] equals, which in this case is 2.
3. Finding the Value of x:
- Solving the equation [tex]\(10^2 = x\)[/tex], we find that [tex]\(x = 10 \times 10 = 100\)[/tex].
So, the value of [tex]\(x\)[/tex] is 100. This is the answer to the problem.
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