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Popular >

7^{x-1}+7^x=2744

Solution

7^{x - 1} + 7^{x} = 2744

Solution

x = 4

Solution steps

7^{x - 1} + 7^{x} = 2744

Factor

7^{x - 1} + 7^{x} : 8 \cdot 7^{x - 1}

8 \cdot 7^{x - 1} = 2744

Divide both sides by

8

7^{x - 1} = 343

Apply exponent rules

x - 1 = 3

Solve

x - 1 = 3 : x = 4

x = 4

Popular Examples

1/8 = 4/(2^{t/7)}

\frac{1}{8} = \frac{4}{2 ^{\frac{t}{7}}}

5^{3 x - 1} = 25

3^{x} = \frac{14}{25}

3^{3x+1}=9^{x+4}

3^{3 x + 1} = 9^{x + 4}

5^{5-x}=2^{5-x}

5^{5 - x} = 2^{5 - x}

Frequently Asked Questions (FAQ)

What is the answer to 7^{x-1}+7^x=2744 ?
The answer to 7^{x-1}+7^x=2744 is x=4
Solve for x: 7^{x-1}+7^x=2744
The solution is x=4