Finite Math Examples

$\log (x + 12) = 64$

Step 1

Rewrite $\log (x + 12) = 64$ in exponential form using the definition of a logarithm. If $x$ and $b$ are positive real numbers and $b \neq 1$ , then $\log_{b} (x) = y$ is equivalent to $b^{y} = x$ .

$10^{64} = x + 12$

Step 2

Solve for $x$ .

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Step 2.1

Rewrite the equation as $x + 12 = 10^{64}$ .

$x + 12 = 10^{64}$

Step 2.2

Subtract $12$ from both sides of the equation.

$x = 10^{64} - 12$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = 10^{64} - 12$

Decimal Form:

$x = 1 \cdot 10^{64}$