Algebra Examples

\log_{7} (x)

$\log_{7} (x)$

Step 1

The change of base rule can be used if

a

$a$ and

b

$b$ are greater than

0

$0$ and not equal to

1

$1$ , and

x

$x$ is greater than

0

$0$ .

\log_{a} (x) = \frac{\log_{b} (x)}{\log_{b} (a)}

$\log_{a} (x) = \frac{\log_{b} (x)}{\log_{b} (a)}$

Step 2

Substitute in values for the variables in the change of base formula, using

b = 10

$b = 10$ .

\frac{\log (x)}{\log (7)}

$\frac{\log (x)}{\log (7)}$

\log_{7} (x)

$\log_{7} (x)$

(

(

)

)

|

|

[

[

]

]

√

√





≥

≥





















7

7

8

8

9

9

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

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



≤

≤













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





4

4

5

5

6

6

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/

^

^

×

×

>

>









∩

∩

∪

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1

1

2

2

3

3

-

-

+

+

÷

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

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0

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.

.

%

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

=

=



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

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

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