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Popular >

7^x-7^{x-1}=6

Solution

7^{x} - 7^{x - 1} = 6

Solution

x = 1

Solution steps

7^{x} - 7^{x - 1} = 6

Factor

7^{x} - 7^{x - 1} : 6 \cdot 7^{x - 1}

6 \cdot 7^{x - 1} = 6

Divide both sides by

6

7^{x - 1} = 1

Apply exponent rules

(x - 1) ln (7) = ln (1)

Solve

(x - 1) ln (7) = ln (1) : x = 1

x = 1

Popular Examples

0.4^{x-1}=6.25^{6x-5}

0. 4^{x - 1} = 6.2 5^{6 x - 5}

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

1+2e^{2ln(x)}=7

1 + 2 e^{2 l n (x)} = 7

e^{x-9}=sqrt(73)

e^{x - 9} = 73

e^{0.4 x} = 8

Frequently Asked Questions (FAQ)

What is the answer to 7^x-7^{x-1}=6 ?
The answer to 7^x-7^{x-1}=6 is x=1
Solve for x: 7^x-7^{x-1}=6
The solution is x=1