What is the answer to ln(5x-4)=ln(8)-ln(x-2) ?

The answer to ln(5x-4)=ln(8)-ln(x-2) is x= 14/5

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ln(5x-4)=ln(8)-ln(x-2)

ln (5 x - 4) = ln (8) - ln (x - 2)

x = \frac{14}{5}

Solution steps

ln (5 x - 4) = ln (8) - ln (x - 2)

Add

ln (x - 2)

to both sides

ln (5 x - 4) + ln (x - 2) = ln (8) - ln (x - 2) + ln (x - 2)

Simplify

ln (5 x - 4) + ln (x - 2) = ln (8)

Apply log rules

(5 x - 4) (x - 2) = 8

Solve

(5 x - 4) (x - 2) = 8 : x = \frac{14}{5}, x = 0

x = \frac{14}{5}, x = 0

Verify Solutions:

x = \frac{14}{5}

True

, x = 0

False

The solution is

x = \frac{14}{5}

lo g_{10} (x) = \frac{- 1}{n}

ln (\frac{x ^{2}}{x + 2}) = 0

lo g_{2} (x + 5) = - lo g_{2} (x + 3) + 3

- 0.04 = lo g_{10} (x)

lo g_{3} (x) - 2 lo g_{10} (x) (3) = 1

What is the answer to ln(5x-4)=ln(8)-ln(x-2) ?
The answer to ln(5x-4)=ln(8)-ln(x-2) is x= 14/5
Solve for x: ln(5x-4)=ln(8)-ln(x-2)
The solution is x= 14/5