### Home > APCALC > Chapter 6 > Lesson 6.1.1 > Problem6-10

6-10.

Rewrite the following equations using powers of the specified base. An example is shown at right.

Use the example above to help you with these problems.

$\left. \begin{array}{l}{ y = 5 ^ { x } \text { using base } 2 }\\{ \operatorname{log} _ { 2 } y = x \operatorname { log } _ { 2 } 5 }\\{ y = 2 ^ { x \operatorname { log } _ { 2 } 5 } }\end{array} \right.$

1. $y = 3^x$ using base $5$

2. $y = 7^x$ using base $10$

3. $y = 2^x$ using base $e$

$\ln(y) = x \ln(2)$
$y = e^{x \ln(2)}$