What is the answer to 5^{x+3}*5^{2x-4}=125 ?

The answer to 5^{x+3}*5^{2x-4}=125 is x= 4/3

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5^{x+3}*5^{2x-4}=125

5^{x + 3} \cdot 5^{2 x - 4} = 125

x = \frac{4}{3}

Decimal Notation

x = 1.33333 \dots

Solution steps

5^{x + 3} \cdot 5^{2 x - 4} = 125

Apply exponent rules

3 x - 1 = 3

Solve

3 x - 1 = 3 : x = \frac{4}{3}

x = \frac{4}{3}

2 \cdot 3^{4 t} = 5^{- t}

4^{x + 2} = 64

2^{x} = 4^{x + 1}

4^{0.2 x} + 6 = 43

3^{- x} = 243

What is the answer to 5^{x+3}*5^{2x-4}=125 ?
The answer to 5^{x+3}*5^{2x-4}=125 is x= 4/3
Solve for x: 5^{x+3}*5^{2x-4}=125
The solution is x= 4/3