What is the answer to 4ln(7x-8)-13=-25 ?

The answer to 4ln(7x-8)-13=-25 is x=(1+8e^3)/(7e^3)

Solve for x: 4ln(7x-8)-13=-25

The solution is x=(1+8e^3)/(7e^3)

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4 ln (7 x - 8) - 13 = - 25

x = \frac{1 + 8 e ^{3}}{7 e ^{3}}

Decimal Notation

x = 1.14996 \dots

Solution steps

4 ln (7 x - 8) - 13 = - 25

Move

13

to the right side

4 ln (7 x - 8) = - 12

Divide both sides by

4

ln (7 x - 8) = - 3

Apply log rules

7 x - 8 = \frac{1}{e ^{3}}

Solve

7 x - 8 = \frac{1}{e ^{3}} : x = \frac{1 + 8 e ^{3}}{7 e ^{3}}

x = \frac{1 + 8 e ^{3}}{7 e ^{3}}

Verify Solutions:

x = \frac{1 + 8 e ^{3}}{7 e ^{3}}

True

The solution is

x = \frac{1 + 8 e ^{3}}{7 e ^{3}}

ln (x + 63) - ln (5 - 4 x) = 6 ln (2)

lo g_{81} (x) = \frac{3}{4}

ln (x) + 2 ln (x) = 0

0.24 = ln (x)

lo g_{2} (x + 7) = 0

What is the answer to 4ln(7x-8)-13=-25 ?
The answer to 4ln(7x-8)-13=-25 is x=(1+8e^3)/(7e^3)
Solve for x: 4ln(7x-8)-13=-25
The solution is x=(1+8e^3)/(7e^3)