What is the answer to 27*3^{x+2}-1/3 =0 ?

The answer to 27*3^{x+2}-1/3 =0 is x=-6

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27*3^{x+2}-1/3 =0

27 \cdot 3^{x + 2} - \frac{1}{3} = 0

x = - 6

Solution steps

27 \cdot 3^{x + 2} - \frac{1}{3} = 0

Add

\frac{1}{3}

to both sides

27 \cdot 3^{x + 2} - \frac{1}{3} + \frac{1}{3} = 0 + \frac{1}{3}

Simplify

27 \cdot 3^{x + 2} = \frac{1}{3}

Divide both sides by

27

3^{x + 2} = \frac{1}{81}

Apply exponent rules

x + 2 = - 4

Solve

x + 2 = - 4 : x = - 6

x = - 6

3^{\frac{2 x + 1}{3}} = 27

1 0^{x} = 20

1 0^{x} = 15

x, e^{\frac{x}{y}} = x - y

2 7^{x + 1} = 9

What is the answer to 27*3^{x+2}-1/3 =0 ?
The answer to 27*3^{x+2}-1/3 =0 is x=-6
Solve for x: 27*3^{x+2}-1/3 =0
The solution is x=-6