### Home > APCALC > Chapter 5 > Lesson 5.3.3 > Problem5-130

5-130.

OLD SOFTWARE

Old computer programs used to only allow exponential functions with a certain base. If you needed an exponential in a different base, it had to be converted first. At right is the procedure for rewriting a base $2$ exponential function with a base of $10.$ Use this technique to rewrite $y = 3^{x}$ as an exponential function with a base of $10$

 $y = 2^{x}$ $\log y=x\log2$ $y=10^{x\log2}$

Notice the second step of the model problem above. It is the Power Law of Logarithms; this law will become more and more necessary as this course progresses.