### Home > INT3 > Chapter 7 > Lesson 7.1.2 > Problem 7-24

7-24.

Rewrite each equation as an equivalent equation using log base 10. You do not need to calculate a numerical answer. These are sometimes known as

**change of base**problems. Homework Help ✎log

_{2}(3) =*x*log

_{5}(8) =*x*log

_{7}(12) =*x*log

(_{a}*b*) =*x*

Write the equation in exponential form.

2* ^{x}* = 3

Take the logarithm of base 10.

log_{10}(2* ^{x}*) = log

_{10}(3)

Use the Power Property of Logarithms and solve for *x*.

*x*log_{10}(2) = log_{10}(3)

Use the same process as in part (a).

Use the same process as in part (a).

Use the same process as in part (a).