Precalculus Examples

$11 t = - \ln (1 - \frac{i}{0.7})$

Step 1

Simplify.

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Step 1.1

Multiply by $1$ .

$11 t = - \ln (1 - \frac{1 i}{0.7})$

Step 1.2

Factor $0.7$ out of $0.7$ .

$11 t = - \ln (1 - \frac{1 i}{0.7 (1)})$

Step 1.3

Separate fractions.

$11 t = - \ln (1 - (\frac{1}{0.7} \cdot \frac{i}{1}))$

Step 1.4

Divide $1$ by $0.7$ .

$11 t = - \ln (1 - (1.\overline{428571} \frac{i}{1}))$

Step 1.5

Divide $i$ by $1$ .

$11 t = - \ln (1 - (1.\overline{428571} i))$

Step 1.6

Multiply $1.\overline{428571}$ by $- 1$ .

$11 t = - \ln (1 - 1.\overline{428571} i)$

Step 2

Divide each term in $11 t = - \ln (1 - 1.\overline{428571} i)$ by $11$ and simplify.

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Step 2.1

Divide each term in $11 t = - \ln (1 - 1.\overline{428571} i)$ by $11$ .

$\frac{11 t}{11} = \frac{- \ln (1 - 1.\overline{428571} i)}{11}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $11$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{11 t}{11} = \frac{- \ln (1 - 1.\overline{428571} i)}{11}$

Step 2.2.1.2

Divide $t$ by $1$ .

$t = \frac{- \ln (1 - 1.\overline{428571} i)}{11}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Move the negative in front of the fraction.

$t = - \frac{\ln (1 - 1.\overline{428571} i)}{11}$