### Home > CCA2 > Chapter 10 > Lesson 10.3.2 > Problem10-176

10-176.

This problem is a checkpoint for rewriting expressions with and solving equations with logarithms. It will be referred to as Checkpoint 10. Homework Help ✎

In parts (a) through (b), rewrite each expression as a single logarithm. In parts (c) through (f), solve each equation.

1. log$_2$$(30x) -$ log$_2$$(6)$

1. $2$ log$_3$$(x) +$ log$_3$$(5)$

1. log$_7$$(3x - 2) = 2$

1. log$(2x + 1) = -1$

1. log$_5$$(3y) +$ log$_5$$(9) =$ log$_5$$(405)$

1. log$(x) +$ log$(x + 21) = 2$