Algebra Examples

$6.2 = \log (\frac{I}{1})$

Step 1

Rewrite the equation as $\log (\frac{I}{1}) = 6.2$ .

$\log (\frac{I}{1}) = 6.2$

Step 2

Rewrite $\log (\frac{I}{1}) = 6.2$ 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 $b^{y} = x$ .

$10^{6.2} = \frac{I}{1}$

Step 3

Solve for $I$ .

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Step 3.1

Rewrite the equation as $\frac{I}{1} = 10^{6.2}$ .

$\frac{I}{1} = 10^{6.2}$

Step 3.2

Divide $I$ by $1$ .

$I = 10^{6.2}$

Step 3.3

Raise $10$ to the power of $6.2$ .

$I = 1584893.19246111$