What is the answer to 12=k(ln(7))+(20)/(ln(2.6))-k ?

The answer to 12=k(ln(7))+(20)/(ln(2.6))-k is k=(12ln(2.6)-20)/(ln(2.6)(ln(7)-1))

Solve for k: 12=k(ln(7))+(20)/(ln(2.6))-k

The solution is k=(12ln(2.6)-20)/(ln(2.6)(ln(7)-1))

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12 = k (ln (7)) + \frac{20}{ln ( 2.6 )} - k

k = \frac{12 ln ( 2.6 ) - 20}{ln ( 2.6 ) ( ln ( 7 ) - 1 )}

Decimal Notation

k = - 9.44191 \dots

Solution steps

12 = k (ln (7)) + \frac{20}{ln ( 2.6 )} - k

Switch sides

k (ln (7)) + \frac{20}{ln ( 2.6 )} - k = 12

ln (7) k + \frac{20}{ln ( 2.6 )} - k = 12

Move

\frac{20}{ln ( 2.6 )}

to the right side

ln (7) k - k = 12 - \frac{20}{ln ( 2.6 )}

Factor

ln (7) k - k : (ln (7) - 1) k

(ln (7) - 1) k = 12 - \frac{20}{ln ( 2.6 )}

Divide both sides by

ln (7) - 1

k = \frac{12 ln ( 2.6 ) - 20}{ln ( 2.6 ) ( ln ( 7 ) - 1 )}

(- 1)^{\frac{1}{5}}

43 \cdot 2

x^{2} - 6 x < - 8

7 < x

\frac{2}{3} \cdot \frac{1}{5}

What is the answer to 12=k(ln(7))+(20)/(ln(2.6))-k ?
The answer to 12=k(ln(7))+(20)/(ln(2.6))-k is k=(12ln(2.6)-20)/(ln(2.6)(ln(7)-1))
Solve for k: 12=k(ln(7))+(20)/(ln(2.6))-k
The solution is k=(12ln(2.6)-20)/(ln(2.6)(ln(7)-1))