What is the answer to 2ln(8x-3)-3=5 ?

The answer to 2ln(8x-3)-3=5 is x=(e^4+3)/8

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2ln(8x-3)-3=5

2 ln (8 x - 3) - 3 = 5

x = \frac{e ^{4} + 3}{8}

Decimal

x = 7.19976 \dots

Solution steps

2 ln (8 x - 3) - 3 = 5

Move

3

to the right side

2 ln (8 x - 3) = 8

Divide both sides by

2

ln (8 x - 3) = 4

Apply log rules

8 x - 3 = e^{4}

Solve

8 x - 3 = e^{4} : x = \frac{e ^{4} + 3}{8}

x = \frac{e ^{4} + 3}{8}

Verify Solutions:

x = \frac{e ^{4} + 3}{8}

True

The solution is

x = \frac{e ^{4} + 3}{8}

2 \cdot lo g_{10} (x - 3) = lo g_{10} (25)

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

lo g_{3} (x) = - \frac{1}{2}

lo g_{x + 6} (2 x^{2} + 7 x) = 2

ln (x + 2) - ln (x - 6) = 1

What is the answer to 2ln(8x-3)-3=5 ?
The answer to 2ln(8x-3)-3=5 is x=(e^4+3)/8
Solve for x: 2ln(8x-3)-3=5
The solution is x=(e^4+3)/8