<p>Linearize the following equations where $a$ and $b$ are constants.</p>
<p style="text-align: center">$y={{b}^{2x+1}}-1$</p>

Linearize the following equations where $a$ and $b$ are constants.

Default solution

$y = b^{2x+1} - 1$

**Method I:**
$y = b \cdot b^{2x} - 1$

$y$ against $b^{2x}$

Linear graph: slope $m = b$, $y$-intercept $= -1$

**Method II:**
$y + 1 = b^{2x+1}$

$\ln(y + 1) = (2x + 1) \ln b$

$\ln(y + 1) = (2 \ln b)x + \ln b$

$\ln(y + 1)$ against $x$

Linear graph: slope $= 2 \ln b$, $y$-intercept $= \ln b$

Worked Example 5

Worked Example 5

Video Solution:

Default solution