What is the answer to 5^{x+3}=(((1))/((125)))^x ?

The answer to 5^{x+3}=(((1))/((125)))^x is x=-3/4

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5^{x+3}=(((1))/((125)))^x

5^{x + 3} = (\frac{( 1 )}{( 125 )})^{x}

x = - \frac{3}{4}

Decimal Notation

x = - 0.75

Solution steps

5^{x + 3} = (\frac{( 1 )}{( 125 )})^{x}

Apply exponent rules

x + 3 = - 3 x

Solve

x + 3 = - 3 x : x = - \frac{3}{4}

x = - \frac{3}{4}

e^{x} \cdot e^{- x} = 1

3^{x} + 3^{- x + 3} = 12

3^{2 x + 1} - 3^{x + 2} + 6 = 0

3^{x + 1} + 3^{4 - x} = 36

0 = e^{x}

What is the answer to 5^{x+3}=(((1))/((125)))^x ?
The answer to 5^{x+3}=(((1))/((125)))^x is x=-3/4
Solve for x: 5^{x+3}=(((1))/((125)))^x
The solution is x=-3/4