OLD SOFTWARE

Old computer programs used to only allow exponentials with a certain base (like your calculator only lets you use certain types of logs). If you needed an exponential in a different base, it had to be converted first. To the right is the procedure for changing a base $2$ exponential function into base $10$. Use this technique to change $y = 3^x$ into an exponential function with base $10$.

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