What is the answer to (5^{x+1}-5^x)/4 =25 ?

The answer to (5^{x+1}-5^x)/4 =25 is x=2

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(5^{x+1}-5^x)/4 =25

\frac{5 ^{x + 1} - 5 ^{x}}{4} = 25

x = 2

Solution steps

\frac{5 ^{x + 1} - 5 ^{x}}{4} = 25

Multiply both sides by

4

\frac{5 ^{x + 1} - 5 ^{x}}{4} \cdot 4 = 25 \cdot 4

Simplify

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

Factor

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

4 \cdot 5^{x} = 100

Divide both sides by

4

5^{x} = 25

Apply exponent rules

x = 2

\frac{2 ^{x}}{2 ^{3 x}} = 2^{2 x}

9^{x - 4} = 2 7^{5 - 2 x}

2^{x} \cdot 4^{x + 1} = 0.5

3^{2 x - 3} = 81

3^{n - 1} = 243

What is the answer to (5^{x+1}-5^x)/4 =25 ?
The answer to (5^{x+1}-5^x)/4 =25 is x=2
Solve for x: (5^{x+1}-5^x)/4 =25
The solution is x=2