What is the answer to ln(5x+1)+ln(x)=ln(4) ?

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

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ln(5x+1)+ln(x)=ln(4)

ln (5 x + 1) + ln (x) = ln (4)

x = \frac{4}{5}

Decimal Notation

x = 0.8

Solution steps

ln (5 x + 1) + ln (x) = ln (4)

Apply log rules

(5 x + 1) x = 4

Solve

(5 x + 1) x = 4 : x = \frac{4}{5}, x = - 1

x = \frac{4}{5}, x = - 1

Verify Solutions:

x = \frac{4}{5}

True

, x = - 1

False

The solution is

x = \frac{4}{5}

lo g_{3} (4 x - 2) = 3

lo g_{\frac{1}{4}} (x) = 2

lo g_{2} (4 x) = 8 lo g_{x} (2)

lo g_{3} (x^{2}) = 4

ln (x + 2) = 2

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