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Popular >

8^n-8^{n-1}=14

Solution

8^{n} - 8^{n - 1} = 14

Solution

n = \frac{4}{3}

+1

Decimal Notation

n = 1.33333 \dots

Solution steps

8^{n} - 8^{n - 1} = 14

Factor

8^{n} - 8^{n - 1} : 7 \cdot 8^{n - 1}

7 \cdot 8^{n - 1} = 14

Divide both sides by

7

8^{n - 1} = 2

Apply exponent rules

3 (n - 1) = 1

Solve

3 (n - 1) = 1 : n = \frac{4}{3}

n = \frac{4}{3}

Popular Examples

4^{x} = 0

4^{x} = 6

e^{2x}-7e^x=-10

e^{2 x} - 7 e^{x} = - 10

5^{x^{2} + x} = 25

2e^{3y+8}-11e^{5-10y}=0

2 e^{3 y + 8} - 11 e^{5 - 10 y} = 0

Frequently Asked Questions (FAQ)

What is the answer to 8^n-8^{n-1}=14 ?
The answer to 8^n-8^{n-1}=14 is n= 4/3
Solve for n: 8^n-8^{n-1}=14
The solution is n= 4/3