What is the answer to ln(x+5)+ln(3x-1)=6ln(2) ?

The answer to ln(x+5)+ln(3x-1)=6ln(2) is x=3

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ln(x+5)+ln(3x-1)=6ln(2)

ln (x + 5) + ln (3 x - 1) = 6 ln (2)

x = 3

Solution steps

ln (x + 5) + ln (3 x - 1) = 6 ln (2)

Apply log rules

(x + 5) (3 x - 1) = 64

Solve

(x + 5) (3 x - 1) = 64 : x = 3, x = - \frac{23}{3}

x = 3, x = - \frac{23}{3}

Verify Solutions:

x = 3

True

, x = - \frac{23}{3}

False

The solution is

x = 3

lo g_{0.2} (x) = - 3

x = 8 lo g_{2} (x)

lo g_{2} (x) + 2 lo g_{4} (x - 1) - 1 = 0

27 = \frac{75}{ln ( x + 1 )}

lo g_{8} (x) - lo g_{8} (x - 3) = 2

What is the answer to ln(x+5)+ln(3x-1)=6ln(2) ?
The answer to ln(x+5)+ln(3x-1)=6ln(2) is x=3
Solve for x: ln(x+5)+ln(3x-1)=6ln(2)
The solution is x=3