Solve: (1/5)log₈1024 - 2log₈(1/2) Logarithmic Expression

Question

$\frac{1}{5}\log_81024-2\log_8\frac{1}{2}=$

00:00 Solve

00:08 We'll use the power logarithm formula

00:12 We'll raise the numbers to their appropriate powers

00:23 We'll calculate each power

00:53 We'll use the logarithm subtraction formula

00:57 Subtracting logarithms equals the logarithm of the quotient

01:03 We'll use this formula in our exercise

01:10 And this is the solution to the question

$\log_816$