What is the answer to 3ln(5x+1)-8=44 ?

The answer to 3ln(5x+1)-8=44 is x=(e^{52/3}-1)/5

Solve for x: 3ln(5x+1)-8=44

The solution is x=(e^{52/3}-1)/5

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3 ln (5 x + 1) - 8 = 44

x = \frac{e ^{\frac{52}{3}} - 1}{5}

Decimal Notation

x = 6742190.23805 \dots

Solution steps

3 ln (5 x + 1) - 8 = 44

Move

8

to the right side

3 ln (5 x + 1) = 52

Divide both sides by

3

ln (5 x + 1) = \frac{52}{3}

Apply log rules

5 x + 1 = e^{\frac{52}{3}}

Solve

5 x + 1 = e^{\frac{52}{3}} : x = \frac{e ^{\frac{52}{3}} - 1}{5}

x = \frac{e ^{\frac{52}{3}} - 1}{5}

Verify Solutions:

x = \frac{e ^{\frac{52}{3}} - 1}{5}

True

The solution is

x = \frac{e ^{\frac{52}{3}} - 1}{5}

ln (x + 1) = ln (x) + ln (1)

lo g_{3} (x - 7) = 4

lo g_{2 x} (16) = - 2

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

lo g_{10} (E) = (11.8 + 1.5 (8))

What is the answer to 3ln(5x+1)-8=44 ?
The answer to 3ln(5x+1)-8=44 is x=(e^{52/3}-1)/5
Solve for x: 3ln(5x+1)-8=44
The solution is x=(e^{52/3}-1)/5