Algebra Examples

$\log (E) - 12.2 = 1.44 M$

Step 1

Add $12.2$ to both sides of the equation.

$\log (E) = 1.44 M + 12.2$

Step 2

Rewrite $\log (E) = 1.44 M + 12.2$ 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 $b^{y} = x$ .

$10^{1.44 M + 12.2} = E$

Step 3

Rewrite the equation as $E = 10^{1.44 M + 12.2}$ .

$E = 10^{1.44 M + 12.2}$