What is the answer to 10=-5/4 (ln(2-4(-2)))+C ?

The answer to 10=-5/4 (ln(2-4(-2)))+C is C=10+(5ln(10))/4

Solve for C: 10=-5/4 (ln(2-4(-2)))+C

The solution is C=10+(5ln(10))/4

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10 = - \frac{5}{4} (ln (2 - 4 (- 2))) + C

C = 10 + \frac{5 ln ( 10 )}{4}

Decimal Notation

C = 12.87823 \dots

Solution steps

10 = - \frac{5}{4} (ln (2 - 4 (- 2))) + C

Switch sides

- \frac{5}{4} (ln (2 - 4 (- 2))) + C = 10

Remove parentheses:

(a) = a, - (- a) = a

- \frac{5}{4} ln (2 + 4 \cdot 2) + C = 10

\frac{5}{4} ln (2 + 4 \cdot 2) = \frac{5 ln ( 10 )}{4}

- \frac{5 ln ( 10 )}{4} + C = 10

Move

\frac{5 ln ( 10 )}{4}

to the right side

C = 10 + \frac{5 ln ( 10 )}{4}

4 (3 + \frac{1}{4} c - \frac{1}{2} d)

(\frac{9}{4})^{\frac{3}{2}}

3 x + 3 = x + 11

\frac{b + 2}{15 b} - \frac{3 c - 5}{45 c}

\frac{3}{5} + \frac{1}{3}

What is the answer to 10=-5/4 (ln(2-4(-2)))+C ?
The answer to 10=-5/4 (ln(2-4(-2)))+C is C=10+(5ln(10))/4
Solve for C: 10=-5/4 (ln(2-4(-2)))+C
The solution is C=10+(5ln(10))/4