What is the answer to 3^{-4x+3}=sqrt(3) ?

The answer to 3^{-4x+3}=sqrt(3) is x= 5/8

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3^{-4x+3}=sqrt(3)

3^{- 4 x + 3} = 3

x = \frac{5}{8}

Decimal Notation

x = 0.625

Solution steps

3^{- 4 x + 3} = 3

Apply exponent rules

- 4 x + 3 = \frac{1}{2}

Solve

- 4 x + 3 = \frac{1}{2} : x = \frac{5}{8}

x = \frac{5}{8}

(\frac{1}{125})^{3 x - 2} = 625

e^{(l n (0.3)) t} = 0.6

2^{2 x} - 20 (2^{x}) + 64 = 0

2 = e^{9 x}

e^{2 x} - 2 e^{- 2 x} = 1

What is the answer to 3^{-4x+3}=sqrt(3) ?
The answer to 3^{-4x+3}=sqrt(3) is x= 5/8
Solve for x: 3^{-4x+3}=sqrt(3)
The solution is x= 5/8