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What value of [tex][tex]$x$[/tex][/tex] satisfies this equation?
[tex]\log (2x) = 2[/tex]

The value of [tex][tex]$x$[/tex][/tex] is [tex]\square[/tex].

Sagot :

GinnyAnswer
To solve the equation [tex]\(\log(2x) = 2\)[/tex], we need to follow these steps:

1. Recognize that [tex]\(\log(2x) = 2\)[/tex] is in base 10 (common logarithm).

2. Convert the logarithmic equation to its exponential form. The equation [tex]\(\log_{10}(2x) = 2\)[/tex] can be rewritten as:
[tex]\[ 2x = 10^2 \][/tex]

3. Calculate [tex]\(10^2\)[/tex]:
[tex]\[ 10^2 = 100 \][/tex]

4. Now, we have:
[tex]\[ 2x = 100 \][/tex]

5. Solve for [tex]\(x\)[/tex] by dividing both sides of the equation by 2:
[tex]\[ x = \frac{100}{2} \][/tex]

6. Simplify the division:
[tex]\[ x = 50 \][/tex]

The value of [tex]\(x\)[/tex] is [tex]\(50\)[/tex].
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