### Home > CCA2 > Chapter 7 > Lesson 7.2.3 > Problem 7-149

7-149.

Compute the value of each expression without using a calculator. Homework Help ✎ log(8) + log(125)

log

_{25}(125)log(25) + log(20) 7

^{log}_{7}(12)

Use the Product Property of Logs: log(*N*) + log(*M*) = log(*NM*).

log(8 · 125)

Remember you are working in log base 10.

log_{10}(1000)

3

Let the expression equal *x* then convert to exponential form.

25* ^{x}* = 125

Rewrite each side of the equation as a power of 5. The exponents are equal.

5^{2}* ^{x}* = 5

^{3}

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