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Popular >

5^{x-1}-5^x=-100

Solution

5^{x - 1} - 5^{x} = - 100

Solution

x = 3

Solution steps

5^{x - 1} - 5^{x} = - 100

Factor

5^{x - 1} - 5^{x} : - 4 \cdot 5^{x - 1}

- 4 \cdot 5^{x - 1} = - 100

Divide both sides by

- 4

5^{x - 1} = 25

Apply exponent rules

x - 1 = 2

Solve

x - 1 = 2 : x = 3

x = 3

Popular Examples

e^{(2x)}-e^{(x)}-12=0

e^{(2 x)} - e^{(x)} - 12 = 0

(2^{x+1})/(4^{x-1)}=2x

\frac{2 ^{x + 1}}{4 ^{x - 1}} = 2 x

e^{2 x} - x^{3} = 0

(1/2)^{(x-2)}+1=0

(\frac{1}{2})^{(x - 2)} + 1 = 0

36^{x+1}=6^{x^2+6x-10}

3 6^{x + 1} = 6^{x^{2} + 6 x - 10}

Frequently Asked Questions (FAQ)

What is the answer to 5^{x-1}-5^x=-100 ?
The answer to 5^{x-1}-5^x=-100 is x=3
Solve for x: 5^{x-1}-5^x=-100
The solution is x=3