What is the answer to 2*9^{x-4}+12=66 ?

The answer to 2*9^{x-4}+12=66 is x= 11/2

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2*9^{x-4}+12=66

2 \cdot 9^{x - 4} + 12 = 66

x = \frac{11}{2}

Decimal Notation

x = 5.5

Solution steps

2 \cdot 9^{x - 4} + 12 = 66

Move

12

to the right side

2 \cdot 9^{x - 4} = 54

Divide both sides by

2

9^{x - 4} = 27

Apply exponent rules

2 (x - 4) = 3

Solve

2 (x - 4) = 3 : x = \frac{11}{2}

x = \frac{11}{2}

\frac{1}{4} = (\frac{1}{2})^{x}

e^{x - 1} = x

1 3^{2 x} = 4

3^{2 x} = 10 (3^{x}) - 9

100 e^{- 0.6 x} = 20

What is the answer to 2*9^{x-4}+12=66 ?
The answer to 2*9^{x-4}+12=66 is x= 11/2
Solve for x: 2*9^{x-4}+12=66
The solution is x= 11/2