Algebra Examples

\log (x) = 6

$\log (x) = 6$

Step 1

Rewrite

\log (x) = 6

$\log (x) = 6$ 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

$b^{y} = x$ .

10^{6} = x

$10^{6} = x$

Step 2

Solve for

x

$x$ .

Tap for more steps...

Step 2.1

Rewrite the equation as

x = 10^{6}

$x = 10^{6}$ .

x = 10^{6}

$x = 10^{6}$

Step 2.2

Raise

10

$10$ to the power of

6

$6$ .

x = 1000000

$x = 1000000$

x = 1000000

$x = 1000000$

\log (x) = 6

$\log (x) = 6$

(

(

)

)

|

|

[

[

]

]

√

√





≥

≥





















7

7

8

8

9

9













≤

≤





















4

4

5

5

6

6

/

/

^

^

×

×

>

>









∩

∩

∪

∪





1

1

2

2

3

3

-

-

+

+

÷

÷

<

<









π

π

∞

∞



,

,

0

0

.

.

%

%



=

=









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

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