What is the answer to ln(5x)+4=ln(3x+4) ?

The answer to ln(5x)+4=ln(3x+4) is x= 4/(5e^4-3)

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ln(5x)+4=ln(3x+4)

ln (5 x) + 4 = ln (3 x + 4)

x = \frac{4}{5 e ^{4} - 3}

Decimal Notation

x = 0.01481 \dots

Solution steps

ln (5 x) + 4 = ln (3 x + 4)

Apply log rules

5 x e^{4} = 3 x + 4

Solve

5 x e^{4} = 3 x + 4 : x = \frac{4}{5 e ^{4} - 3}

x = \frac{4}{5 e ^{4} - 3}

Verify Solutions:

x = \frac{4}{5 e ^{4} - 3}

True

The solution is

x = \frac{4}{5 e ^{4} - 3}

lo g_{3} (5 x + 3) = 5

x, ln (x + y) = 5

lo g_{10} (x) = 8.79

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

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

What is the answer to ln(5x)+4=ln(3x+4) ?
The answer to ln(5x)+4=ln(3x+4) is x= 4/(5e^4-3)
Solve for x: ln(5x)+4=ln(3x+4)
The solution is x= 4/(5e^4-3)