Knowee
Questions
Features
Study Tools

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 log10(X) = 8Only give your answer to the nearest integer, please.

🧐 Not the exact question you are looking for?Go ask a question

Solution

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

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

    log10(X) = 8/2 = 4

  2. 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

  3. 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

Similar Questions

If log 10 to base 8 = X, evaluate log 5 to base 8 in terms of X.

Solve for x in log(8x+2)+3log1=1+log(−4x+5).

A number 3013141516171892x is divisible by 8. Find the minimum value of x

Solve the following logarithmic equation.

Find the exact solution of the exponential equation in terms of logarithms.e7 − 8x = 18

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.