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

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

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

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

x = 99

Solution steps

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

Switch sides

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

Divide both sides by

4

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

Apply exponent rules

x = 99

2 = c e^{- t} + \frac{1}{2 e ^{t}}

8^{5 x} = 1 6^{3 x + 4}

2^{x - 1} = 22

e^{4 x} - 5 e^{2 x} + 4 = 0

x, e^{x^{2} + y^{2}} = 3

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