What is the answer to ln(x)+ln(1+2x)=ln(15) ?

The answer to ln(x)+ln(1+2x)=ln(15) is x= 5/2

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ln(x)+ln(1+2x)=ln(15)

ln (x) + ln (1 + 2 x) = ln (15)

x = \frac{5}{2}

Decimal Notation

x = 2.5

Solution steps

ln (x) + ln (1 + 2 x) = ln (15)

Apply log rules

x (1 + 2 x) = 15

Solve

x (1 + 2 x) = 15 : x = \frac{5}{2}, x = - 3

x = \frac{5}{2}, x = - 3

Verify Solutions:

x = \frac{5}{2}

True

, x = - 3

False

The solution is

x = \frac{5}{2}

5 lo g_{10} (x) = 5

0.48 = ln (x)

lo g_{x} (2) = \frac{1}{5}

lo g_{10} (x) = - 4.52

- 9 lo g_{2} (5 r - 2) = - 9

What is the answer to ln(x)+ln(1+2x)=ln(15) ?
The answer to ln(x)+ln(1+2x)=ln(15) is x= 5/2
Solve for x: ln(x)+ln(1+2x)=ln(15)
The solution is x= 5/2