What is the answer to 5ln(5x+9)-4=11 ?

The answer to 5ln(5x+9)-4=11 is x=(e^3-9)/5

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5ln(5x+9)-4=11

5 ln (5 x + 9) - 4 = 11

x = \frac{e ^{3} - 9}{5}

Decimal Notation

x = 2.21710 \dots

Solution steps

5 ln (5 x + 9) - 4 = 11

Move

4

to the right side

5 ln (5 x + 9) = 15

Divide both sides by

5

ln (5 x + 9) = 3

Apply log rules

5 x + 9 = e^{3}

Solve

5 x + 9 = e^{3} : x = \frac{e ^{3} - 9}{5}

x = \frac{e ^{3} - 9}{5}

Verify Solutions:

x = \frac{e ^{3} - 9}{5}

True

The solution is

x = \frac{e ^{3} - 9}{5}

0.44 = ln (x)

lo g_{10} (x) = \frac{4}{3}

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

ln (x + 7) + ln (x - 5) = 2 ln (x)

lo g_{6} (x) = lo g_{3} (4 x)

What is the answer to 5ln(5x+9)-4=11 ?
The answer to 5ln(5x+9)-4=11 is x=(e^3-9)/5
Solve for x: 5ln(5x+9)-4=11
The solution is x=(e^3-9)/5