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.
Think of this in exponential form.
25? = 125
Rewrite each side of the equation as a power of 5. The exponents are equal.
(52)? = 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).
Let log7(12) = x. Therefore the original expression becomes 7x. But 7x = 12.