What is the answer to 5ln(4x-9)+7=-8 ?

The answer to 5ln(4x-9)+7=-8 is x=(1+9e^3)/(4e^3)

Solve for x: 5ln(4x-9)+7=-8

The solution is x=(1+9e^3)/(4e^3)

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5 ln (4 x - 9) + 7 = - 8

x = \frac{1 + 9 e ^{3}}{4 e ^{3}}

Solution steps

5 ln (4 x - 9) + 7 = - 8

Move

7

to the right side

5 ln (4 x - 9) = - 15

Divide both sides by

5

ln (4 x - 9) = - 3

Apply log rules

4 x - 9 = \frac{1}{e ^{3}}

Solve

4 x - 9 = \frac{1}{e ^{3}} : x = \frac{1 + 9 e ^{3}}{4 e ^{3}}

x = \frac{1 + 9 e ^{3}}{4 e ^{3}}

Verify Solutions:

x = \frac{1 + 9 e ^{3}}{4 e ^{3}}

True

The solution is

x = \frac{1 + 9 e ^{3}}{4 e ^{3}}

ln (n^{2} + 2 n + 1) = 0

3 ln (2 x) = - 3

lo g_{16} (5 x - 2) = \frac{3}{4}

x, 0 = ln (x)

lo g_{2} (lo g_{3} (3 x - 6)) = 1

What is the answer to 5ln(4x-9)+7=-8 ?
The answer to 5ln(4x-9)+7=-8 is x=(1+9e^3)/(4e^3)
Solve for x: 5ln(4x-9)+7=-8
The solution is x=(1+9e^3)/(4e^3)