Algebra Examples

{log}_{2} (x) = 0

$\log_{2} (x) = 0$

Step 1

Rewrite

{log}_{2} (x) = 0

$\log_{2} (x) = 0$ in exponential form using the definition of a logarithm. If

x

$x$ and

b

$b$ are positive real numbers and

b \neq 1

$b \neq 1$ , then

{log}_{b} (x) = y

$\log_{b} (x) = y$ is equivalent to

b^{y} = x

$b^{y} = x$ .

2^{0} = x

$2^{0} = x$

Step 2

Solve for

x

$x$ .

Tap for more steps...

Step 2.1

Rewrite the equation as

x = 2^{0}

$x = 2^{0}$ .

x = 2^{0}

$x = 2^{0}$

Step 2.2

Anything raised to

0

$0$ is

1

$1$ .

x = 1

$x = 1$

x = 1

$x = 1$

$\log_{2} (x) = 0$

(

(

)

)

|

|

[

[

]

]

√

√





≥

≥





















7

7

8

8

9

9













≤

≤





















4

4

5

5

6

6

/

/

^

^

×

×

>

>









∩

∩

∪

∪





1

1

2

2

3

3

-

-

+

+

÷

÷

<

<









π

π

∞

∞



,

,

0

0

.

.

%

%



=

=









⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$