Multi-functional

Algebra Level 1

Let $y = f(x) = 2x - 3$ and $w = g(y) = \ln(y)$ .

For what value of $x$ is $w = 0$ ?

3 solutions

D C
Jun 26, 2016

$w = 0$

$\ln(y) = 0$

$e^0 = y$

$y = 1$

$2x - 3 = 1$

$2x = 4$

$\boxed{x = 2}$

That's right, well done!

Pranshu Gaba - 4 years, 11 months ago

Denton Young
Jun 26, 2016

$ln(y) =0$ when y = 1.

$2x - 3$ = 1 when x = 2.

Simple standard approach.

Hung Woei Neoh
Jun 26, 2016

$y=2x-3\\ w=\ln(y)=\ln(2x-3)\\ w=0\\ \ln(2x-3)=0\\ 2x-3=e^0\\ 2x-3=1\\ 2x=4\\ x=\boxed{2}$