How do you solve ${log}_{x} 6 = 0.5$ $log_x 6 = 0.5$ ?

Question

How do you solve ${log}_{x} 6 = 0.5$ $log_x 6 = 0.5$ ?

1 Answer

Impact of this question

6576 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-01-08T21:39:40

You solve any simple log equation by putting the equation back into exponential form.

Explanation:

Essentially this question is asking you base $x$ $x$ to exponent $\frac{1}{2}$ $1/2$ is 6.

${log}_{x} 6 = 0.5$ $log_x6=0.5$
To put this into exponential form, write it like $x^{0.5} = 6$ $x^0.5=6$ .
Which is $\sqrt{x} = 6$ $sqrtx=6$
The inverse operation of square root is $x^{2}$ $x^2$ , so simply square both sides to get your answer.

${(\sqrt{x})}^{2} = 6^{2}$ $(sqrtx)^2=6^2$
$x = 36$ $x=36$

Science

Math

Humanities

... and beyond

How do you solve ${log}_{x} 6 = 0.5$ $log_x 6 = 0.5$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you solve logx6=0.5log_x 6 = 0.5?

1 Answer

Explanation:

Related questions

Impact of this question

How do you solve ${log}_{x} 6 = 0.5$ $log_x 6 = 0.5$ ?