What is the answer to log_{1/27}(81)= 2/3 x+9 ?

The answer to log_{1/27}(81)= 2/3 x+9 is x=-31/2

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log_{1/27}(81)= 2/3 x+9

lo g_{\frac{1}{27}} (81) = \frac{2}{3} x + 9

x = - \frac{31}{2}

Solution steps

lo g_{\frac{1}{27}} (81) = \frac{2}{3} x + 9

Switch sides

\frac{2}{3} x + 9 = lo g_{\frac{1}{27}} (81)

Move

9

to the right side

\frac{2}{3} x = - \frac{31}{3}

Multiply both sides by

3

2 x = - 31

Divide both sides by

2

x = - \frac{31}{2}

6 (x - 8) = 5 (x - 5)

0 = x^{2} - 4 x + 2

x^{3} - 2 x^{2} + 5 x

79 = \frac{1}{2} (\frac{π}{4}) r^{2}

\frac{2}{3} \cdot \frac{4}{5}

What is the answer to log_{1/27}(81)= 2/3 x+9 ?
The answer to log_{1/27}(81)= 2/3 x+9 is x=-31/2
Solve for x: log_{1/27}(81)= 2/3 x+9
The solution is x=-31/2