What is the answer to ln(8)-ln(5x-10)=1 ?

The answer to ln(8)-ln(5x-10)=1 is x=(8+10e)/(5e)

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ln(8)-ln(5x-10)=1

ln (8) - ln (5 x - 10) = 1

x = \frac{8 + 10 e}{5 e}

Solution steps

ln (8) - ln (5 x - 10) = 1

Move

ln (8)

to the right side

- ln (5 x - 10) = 1 - ln (8)

Divide both sides by

- 1

ln (5 x - 10) = - 1 + ln (8)

Apply log rules

5 x - 10 = \frac{8}{e}

Solve

5 x - 10 = \frac{8}{e} : x = \frac{8 + 10 e}{5 e}

x = \frac{8 + 10 e}{5 e}

Verify Solutions:

x = \frac{8 + 10 e}{5 e}

True

The solution is

x = \frac{8 + 10 e}{5 e}

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

lo g_{2} (x - 6) - lo g_{2} (x + 2) = 4

lo g_{10} (x) (9) = 2

2 lo g_{10} (x + 3) = 2 x + 3

lo g_{10} (x) + lo g_{10} (x + 4) = - 1

What is the answer to ln(8)-ln(5x-10)=1 ?
The answer to ln(8)-ln(5x-10)=1 is x=(8+10e)/(5e)
Solve for x: ln(8)-ln(5x-10)=1
The solution is x=(8+10e)/(5e)