How do you find the x intercept for $f (x) = 2 log 4 (x)$ $f(x)=2log4(x)$ ?

Question

How do you find the x intercept for $f (x) = 2 log 4 (x)$ $f(x)=2log4(x)$ ?

1 Answer

Impact of this question

3247 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-12-17T21:24:26

Solve for $x$ $x$ in $f (x) = 0$ $f(x) = 0$ to find that the $x$ $x$ intercept occurs at
$x = 1$ $x = 1$ .

Explanation:

An $x$ $x$ -intercept occurs where $f (x) = 0$ $f(x) = 0$ , and so to find any $x$ $x$ -intercepts, we simply solve for $x$ $x$ in that equation.

We will be proceeding under the assumption that the question is regarding the base- $4$ $4$ log of $x$ $x$ (as opposed to the base $10$ $10$ or base $e$ $e$ log of $4 x$ $4x$ ).

Using the property that $a^{{log}_{a} (x)} = x$ $a^(log_a(x)) = x$ we get

$2 {log}_{4} (x) = 0$ $2log_4(x) = 0$

$\Rightarrow {log}_{4} (x) = 0$ $=> log_4(x) = 0$

$\Rightarrow 4^{{log}_{4} (x)} = 4^{0}$ $=> 4^(log_4(x)) = 4^0$

$\Rightarrow x = 1$ $=> x = 1$

Science

Math

Humanities

... and beyond

How do you find the x intercept for $f (x) = 2 log 4 (x)$ $f(x)=2log4(x)$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you find the x intercept for f(x)=2log4(x)f(x)=2log4(x)f(x)=2log4(x)?

1 Answer

Explanation:

Related questions

Impact of this question

How do you find the x intercept for $f (x) = 2 log 4 (x)$ $f(x)=2log4(x)$ ?