What is the answer to ln(6x)+ln(5)=ln(4x+2) ?

The answer to ln(6x)+ln(5)=ln(4x+2) is x= 1/13

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ln(6x)+ln(5)=ln(4x+2)

ln (6 x) + ln (5) = ln (4 x + 2)

x = \frac{1}{13}

Decimal Notation

x = 0.07692 \dots

Solution steps

ln (6 x) + ln (5) = ln (4 x + 2)

Apply log rules

30 x = 4 x + 2

Solve

30 x = 4 x + 2 : x = \frac{1}{13}

x = \frac{1}{13}

Verify Solutions:

x = \frac{1}{13}

True

The solution is

x = \frac{1}{13}

3.3 = - lo g_{10} (h)

10.28 = 5 - lo g_{10} (x)

lo g_{4} (3 x) = 5

lo g_{10} (\frac{1}{x}) = - 2.95

(x + 2) ln (x) = 0

What is the answer to ln(6x)+ln(5)=ln(4x+2) ?
The answer to ln(6x)+ln(5)=ln(4x+2) is x= 1/13
Solve for x: ln(6x)+ln(5)=ln(4x+2)
The solution is x= 1/13