What is the answer to ln(3x)+ln(6)=ln(5x+7) ?

The answer to ln(3x)+ln(6)=ln(5x+7) is x= 7/13

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ln(3x)+ln(6)=ln(5x+7)

ln (3 x) + ln (6) = ln (5 x + 7)

x = \frac{7}{13}

Decimal Notation

x = 0.53846 \dots

Solution steps

ln (3 x) + ln (6) = ln (5 x + 7)

Apply log rules

18 x = 5 x + 7

Solve

18 x = 5 x + 7 : x = \frac{7}{13}

x = \frac{7}{13}

Verify Solutions:

x = \frac{7}{13}

True

The solution is

x = \frac{7}{13}

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

lo g_{3} (8 x) - lo g_{3} (4) = 4

6 = 7.2 + lo g_{10} (x)

lo g_{16} (x) = (lo g_{4} (x^{2}))

20 \cdot lo g_{10} (x) = - 3

What is the answer to ln(3x)+ln(6)=ln(5x+7) ?
The answer to ln(3x)+ln(6)=ln(5x+7) is x= 7/13
Solve for x: ln(3x)+ln(6)=ln(5x+7)
The solution is x= 7/13