Algebra Examples

\log_{b} (n) = x

$\log_{b} (n) = x$

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 = b

$b = b$ ,

x = n

$x = n$ , and

y = x

$y = x$ .

b = b

$b = b$

x = n

$x = n$

y = x

$y = x$

Step 2

Substitute the values of

b

$b$ ,

x

$x$ , and

y

$y$ into the equation

b^{y} = x

$b^{y} = x$ .

b^{x} = n

$b^{x} = n$

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

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