Chapter 4 - Exponential and Logarithmic Functions - Section 4.3 Exponential Functions - 4.3 Assess Your Understanding - Page 307: 67

$x=1.5 $

Re-write the given equation as: $4=2^{2x-1}$ or, $2^{2} =2^{2x-1}$ Use the rule power rule: $a^p=a^q$ . We can see that the base $a=2$ is the same on both sides of the equation. So, the exponents will also be equal. This implies that $p=q$ Therefore, $ 2=2x-1 \\ 2x=3 \\ x=1.5 $