Finite Math Examples

$10^{x} = 3.17$

Step 1

Subtract $3.17$ from both sides of the equation.

$10^{x} - 3.17 = 0$

Step 2

Add $3.17$ to both sides of the equation.

$10^{x} = 3.17$

Step 3

Take the base $10$ logarithm of both sides of the equation to remove the variable from the exponent.

$\log (10^{x}) = \log (3.17)$

Step 4

Expand the left side.

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Step 4.1

Expand $\log (10^{x})$ by moving $x$ outside the logarithm.

$x \log (10) = \log (3.17)$

Step 4.2

Logarithm base $10$ of $10$ is $1$ .

$x \cdot 1 = \log (3.17)$

Step 4.3

Multiply $x$ by $1$ .

$x = \log (3.17)$