What is the answer to ln(2x^2-3)=ln(9x-3) ?

The answer to ln(2x^2-3)=ln(9x-3) is x= 9/2

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ln(2x^2-3)=ln(9x-3)

ln (2 x^{2} - 3) = ln (9 x - 3)

x = \frac{9}{2}

Decimal Notation

x = 4.5

Solution steps

ln (2 x^{2} - 3) = ln (9 x - 3)

Apply log rules

2 x^{2} - 3 = 9 x - 3

Solve

2 x^{2} - 3 = 9 x - 3 : x = \frac{9}{2}, x = 0

x = \frac{9}{2}, x = 0

Verify Solutions:

x = \frac{9}{2}

True

, x = 0

False

The solution is

x = \frac{9}{2}

ln (x) = \frac{1}{3}

- 1 - 5 \cdot ln (x) = 0.1875

lo g_{10} (x - 2) = lo g_{10} (10)

lo g_{4} (2 x) - lo g_{4} (x + 1) = 0

lo g_{x} (1) = 35

What is the answer to ln(2x^2-3)=ln(9x-3) ?
The answer to ln(2x^2-3)=ln(9x-3) is x= 9/2
Solve for x: ln(2x^2-3)=ln(9x-3)
The solution is x= 9/2