Home > PC3 > Chapter 5 > Lesson 5.1.3 > Problem5-35

5-35.

​ Solve each of the following equations for $x$. Give exact answers using fractions, not decimals.

1. $8^{(x+3)}=32$

$(2^3)^{x+3}=2^5$

$2^{3x+9}=2^5$

$3x+9=5$

1. $27^{2x}=\left(\frac{1}{9}\right)^{(x-​1)}$

Convert the $\left(\frac{1}{9}\right)$to $\left(3^{-2}\right)$.

1. $\log_3(x)=4$

Review your work from problem 5-25.

$3^4=x$

1. $\log_x(64)=3$

$x^3=64$