Algebra Examples

$y = 10^{x}$

Step 1

Rewrite the equation as $10^{x} = y$ .

$10^{x} = y$

Step 2

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

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

Step 3

Expand the left side.

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Step 3.1

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

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

Step 3.2

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

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

Step 3.3

Multiply $x$ by $1$ .

$x = \log (y)$