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Examples

3 = log (x)

$3 = \log (x)$

Step 1

For logarithmic equations,

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

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

b^{y} = x

$b^{y} = x$ such that

x > 0

$x > 0$ ,

b > 0

$b > 0$ , and

b \neq 1

$b \neq 1$ . In this case,

b = 10

$b = 10$ ,

x = x

$x = x$ , and

y = 3

$y = 3$ .

b = 10

$b = 10$

x = x

$x = x$

y = 3

$y = 3$

Step 2

Substitute the values of

b

$b$ ,

x

$x$ , and

y

$y$ into the equation

b^{y} = x

$b^{y} = x$ .

10^{3} = x

$10^{3} = x$

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

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