Using logarithm table evaluate e4√0.007
In order to evaluate e^4√0.007 using a logarithm table, we can follow these steps:
1. Take the natural logarithm of both sides:
ln(e^4√0.007) = ln(x)
2. Apply the logarithm rule for exponents:
(4√0.007) ln(e) = ln(x)
3. Evaluate the natural logarithm of e:
(4√0.007) * 1 = ln(x)
4. Simplify the expression:
(4√0.007) = ln(x)
5. Use the logarithm table to find the logarithm value for (4√0.007). Locate 0.007 in the table and find its corresponding logarithm value. Then, multiply it by 4 and take the square root.
6. Once you have the value of (4√0.007) from the logarithm table, substitute it back into the equation:
(4√0.007) = ln(x)
It is important to note that using a logarithm table may not be the most efficient way to evaluate this expression. It is recommended to use a calculator or a computer software to get a more accurate and precise result.
To evaluate e^(4√0.007) using a logarithm table, follow these steps:
1. Take the natural logarithm of both sides to get ln(e^(4√0.007)) = 4√0.007 * ln(e).
2. Simplify ln(e) to 1, so the equation becomes ln(e^(4√0.007)) = 4√0.007.
3. Look up the value of √0.007 in the logarithm table.
4. Find the logarithm of the corresponding value in the table. Let's say the value is x, so ln(x) = 4√0.007.
5. Solve for x by taking the exponential of both sides: e^(ln(x)) = e^(4√0.007).
6. The value of x will be equal to e^(4√0.007).