What is the answer to ln(6x-1)=ln(1)-ln(x-1) ?

The answer to ln(6x-1)=ln(1)-ln(x-1) is x= 7/6

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ln(6x-1)=ln(1)-ln(x-1)

ln (6 x - 1) = ln (1) - ln (x - 1)

x = \frac{7}{6}

Decimal Notation

x = 1.16666 \dots

Solution steps

ln (6 x - 1) = ln (1) - ln (x - 1)

Add

ln (x - 1)

to both sides

ln (6 x - 1) + ln (x - 1) = ln (1) - ln (x - 1) + ln (x - 1)

Simplify

ln (6 x - 1) + ln (x - 1) = ln (1)

Apply log rules

(6 x - 1) (x - 1) = 1

Solve

(6 x - 1) (x - 1) = 1 : x = \frac{7}{6}, x = 0

x = \frac{7}{6}, x = 0

Verify Solutions:

x = \frac{7}{6}

True

, x = 0

False

The solution is

x = \frac{7}{6}

lo g_{a} (3) = 0.477

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

lo g_{e} (x) = 6.33099968

ln (u) = - 2

lo g_{10} (x) = 6372

What is the answer to ln(6x-1)=ln(1)-ln(x-1) ?
The answer to ln(6x-1)=ln(1)-ln(x-1) is x= 7/6
Solve for x: ln(6x-1)=ln(1)-ln(x-1)
The solution is x= 7/6