What is the answer to 5^{100}-5^{99}=5^x*4 ?

The answer to 5^{100}-5^{99}=5^x*4 is x=99

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5^{100}-5^{99}=5^x*4

5^{100} - 5^{99} = 5^{x} \cdot 4

x = 99

Solution steps

5^{100} - 5^{99} = 5^{x} \cdot 4

Switch sides

5^{x} \cdot 4 = 5^{100} - 5^{99}

Divide both sides by

4

5^{x} = \frac{5 ^{100} - 5 ^{99}}{4}

Apply exponent rules

x = 99

5^{5 x + 4} = 35

0 = x + x e^{x}

3^{(5 - x)} = 2^{(5 + x)}

e^{6 - 4 x} = 3

e^{6 - 4 x} = 2

What is the answer to 5^{100}-5^{99}=5^x*4 ?
The answer to 5^{100}-5^{99}=5^x*4 is x=99
Solve for x: 5^{100}-5^{99}=5^x*4
The solution is x=99