What is the answer to ln(6)-ln(5x+2)=8 ?

The answer to ln(6)-ln(5x+2)=8 is x=(6-2e^8)/(5e^8)

Solve for x: ln(6)-ln(5x+2)=8

The solution is x=(6-2e^8)/(5e^8)

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ln (6) - ln (5 x + 2) = 8

x = \frac{6 - 2 e ^{8}}{5 e ^{8}}

Solution steps

ln (6) - ln (5 x + 2) = 8

Move

ln (6)

to the right side

- ln (5 x + 2) = 8 - ln (6)

Divide both sides by

- 1

ln (5 x + 2) = - 8 + ln (6)

Apply log rules

5 x + 2 = \frac{6}{e ^{8}}

Solve

5 x + 2 = \frac{6}{e ^{8}} : x = \frac{6 - 2 e ^{8}}{5 e ^{8}}

x = \frac{6 - 2 e ^{8}}{5 e ^{8}}

Verify Solutions:

x = \frac{6 - 2 e ^{8}}{5 e ^{8}}

True

The solution is

x = \frac{6 - 2 e ^{8}}{5 e ^{8}}

lo g_{3} (4) - lo g_{3} (x) = 2

ln (x + 5) - ln (x - 2) = 3 ln (2)

lo g_{x} (1008) = 2

lo g_{x} (x + 2) = 2

lo g_{5} (y) = 40

What is the answer to ln(6)-ln(5x+2)=8 ?
The answer to ln(6)-ln(5x+2)=8 is x=(6-2e^8)/(5e^8)
Solve for x: ln(6)-ln(5x+2)=8
The solution is x=(6-2e^8)/(5e^8)