Using logarithm table evaluate 4√0.007

Answer 1

To evaluate 4√0.007 using a logarithm table, we can rewrite the expression as a power of 10 by using the properties of logarithms.

4√0.007 = 0.007^(1/4)

Now, we can take the logarithm of both sides of the equation to solve for the exponent.

log(4√0.007) = log(0.007^(1/4))

Using the logarithmic property log(a^b) = b*log(a), we can rewrite the equation as:

log(4√0.007) = (1/4) * log(0.007)

Now, we need to look up the logarithm of 0.007 in the logarithm table. Let's assume the logarithm of 0.007 is -2.154.

log(4√0.007) = (1/4) * (-2.154)

Simplifying further, we have:

log(4√0.007) = -0.539

Therefore, 4√0.007 is approximately equal to 10^(-0.539) using a logarithm table.