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Popular >

6^{-x}*4^3= 16/9

Solution

6^{- x} \cdot 4^{3} = \frac{16}{9}

Solution

x = 2

Solution steps

6^{- x} \cdot 4^{3} = \frac{16}{9}

Divide both sides by

4^{3}

6^{- x} = \frac{16}{9 \cdot 4 ^{3}}

Simplify

\frac{16}{9 \cdot 4 ^{3}} : \frac{1}{36}

6^{- x} = \frac{1}{36}

Apply exponent rules

- x = - 2

Solve

- x = - 2 : x = 2

x = 2

Popular Examples

5^{x + 1} = \frac{1}{625}

2^{x + 1} = 44

xe^{-x}+2e^{-x}=0

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

6^{7-x}=6^{2x+1}

6^{7 - x} = 6^{2 x + 1}

590=4230(0.945)^{3x-4}+70

590 = 4230 (0.945)^{3 x - 4} + 70

Frequently Asked Questions (FAQ)

What is the answer to 6^{-x}*4^3= 16/9 ?
The answer to 6^{-x}*4^3= 16/9 is x=2
Solve for x: 6^{-x}*4^3= 16/9
The solution is x=2