What is the answer to 4^{5x-2}= 1/(4^6) ?

The answer to 4^{5x-2}= 1/(4^6) is x=-4/5

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4^{5x-2}= 1/(4^6)

4^{5 x - 2} = \frac{1}{4 ^{6}}

x = - \frac{4}{5}

Decimal Notation

x = - 0.8

Solution steps

4^{5 x - 2} = \frac{1}{4 ^{6}}

Apply exponent rules

5 x - 2 = - 6

Solve

5 x - 2 = - 6 : x = - \frac{4}{5}

x = - \frac{4}{5}

2^{3 x + 9} = 3 2^{3 x + 1}

- 3.3 \cdot 1 7^{- 4 v} = - 78

3^{x} + 3^{x + 1} - 36 = 0

22 = e^{x - 3} + e^{- (x - 3)}

What is the answer to 4^{5x-2}= 1/(4^6) ?
The answer to 4^{5x-2}= 1/(4^6) is x=-4/5
Solve for x: 4^{5x-2}= 1/(4^6)
The solution is x=-4/5