What is the answer to 3ln(2)+ln(x-1)-ln(x)=ln(7) ?

The answer to 3ln(2)+ln(x-1)-ln(x)=ln(7) is x=8

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3ln(2)+ln(x-1)-ln(x)=ln(7)

3 ln (2) + ln (x - 1) - ln (x) = ln (7)

x = 8

Solution steps

3 ln (2) + ln (x - 1) - ln (x) = ln (7)

Apply log rules

8 (x - 1) = 7 x

Solve

8 (x - 1) = 7 x : x = 8

x = 8

Verify Solutions:

x = 8

True

The solution is

x = 8

lo g_{9} (x^{2}) = 9

lo g_{6} (x^{2} - 5 x) = 1

lo g_{10} (16 x) - lo g_{10} (4) = 2

12.5 = - lo g_{10} (x)

0.4 = ln (x)

What is the answer to 3ln(2)+ln(x-1)-ln(x)=ln(7) ?
The answer to 3ln(2)+ln(x-1)-ln(x)=ln(7) is x=8
Solve for x: 3ln(2)+ln(x-1)-ln(x)=ln(7)
The solution is x=8