Compute the value of each expression without using a calculator. Homework Help ✎
log(8) + log(125)
log(25) + log(20)
Use the Product Property of Logs: log(N) + log(M) = log(NM).
log(8 · 125)
Remember you are working in log base 10.
Let the expression equal x then convert to exponential form.
25x = 125
Rewrite each side of the equation as a power of 5. The exponents are equal.
52x = 53
Apply the Power Property of Logs to the first logarithm and simplify.
log(5) + log(20)
Use the Product Property of Logs, as in part (a).
Remember the property that