Solve for X in the following equation:2 log10(X) = 8Only give your answer to the nearest integer, please.

Question

Solve for X in the following equation:

$2 \log_{10}(X) = 8$

Only give your answer to the nearest integer, please.

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Solution

To solve for X in the equation 2 log10(X) = 8, follow these steps:

Divide both sides of the equation by 2 to isolate the logarithm on one side:

log10(X) = 8/2 = 4
To remove the logarithm, you can use the property of logarithms that says if logb(a) = c, then b^c = a. In this case, b is 10 (since we're using log base 10), a is X, and c is 4. So:

10^4 = X
Calculate 10^4:

X = 10,000

So, the solution to the equation 2 log10(X) = 8 is X = 10,000. Rounded to the nearest integer, X = 10,000.

This problem has been solved

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