What is the answer to ln(3x-5)+ln(3x-7)=3ln(2) ?

The answer to ln(3x-5)+ln(3x-7)=3ln(2) is x=3

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ln(3x-5)+ln(3x-7)=3ln(2)

ln (3 x - 5) + ln (3 x - 7) = 3 ln (2)

x = 3

Solution steps

ln (3 x - 5) + ln (3 x - 7) = 3 ln (2)

Apply log rules

(3 x - 5) (3 x - 7) = 8

Solve

(3 x - 5) (3 x - 7) = 8 : x = 3, x = 1

x = 3, x = 1

Verify Solutions:

x = 3

True

, x = 1

False

The solution is

x = 3

0.51 = lo g_{10} (x)

lo g_{6} (3 x + 2) + lo g_{6} (x - 5) = 1

- 1.2 = lo g_{10} (x)

lo g_{5} (x) = 9 lo g_{x} (5)

lo g_{2} (x + 6) + lo g_{2} (x + 7) = 1

What is the answer to ln(3x-5)+ln(3x-7)=3ln(2) ?
The answer to ln(3x-5)+ln(3x-7)=3ln(2) is x=3
Solve for x: ln(3x-5)+ln(3x-7)=3ln(2)
The solution is x=3