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

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

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

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

x = - 2

Solution steps

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

Factor

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

4 \cdot 5^{x + 2} = 4

Divide both sides by

4

5^{x + 2} = 1

Apply exponent rules

(x + 2) ln (5) = ln (1)

Solve

(x + 2) ln (5) = ln (1) : x = - 2

x = - 2

\frac{a}{2} = a \cdot e^{k (5600)}

x, x y = e^{x - y}

1 3^{2 x + 15} = 16 9^{14 - 6 x}

2^{- 2 x + 1} \cdot 8 = 2^{4 x}

8^{x} + 1 + 8^{1} - x = 20

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