What is the answer to 4ln(7x+2)-7=-15 ?

The answer to 4ln(7x+2)-7=-15 is x=(1-2e^2)/(7e^2)

Solve for x: 4ln(7x+2)-7=-15

The solution is x=(1-2e^2)/(7e^2)

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4 ln (7 x + 2) - 7 = - 15

x = \frac{1 - 2 e ^{2}}{7 e ^{2}}

Decimal Notation

x = - 0.26638 \dots

Solution steps

4 ln (7 x + 2) - 7 = - 15

Move

7

to the right side

4 ln (7 x + 2) = - 8

Divide both sides by

4

ln (7 x + 2) = - 2

Apply log rules

7 x + 2 = \frac{1}{e ^{2}}

Solve

7 x + 2 = \frac{1}{e ^{2}} : x = \frac{1 - 2 e ^{2}}{7 e ^{2}}

x = \frac{1 - 2 e ^{2}}{7 e ^{2}}

Verify Solutions:

x = \frac{1 - 2 e ^{2}}{7 e ^{2}}

True

The solution is

x = \frac{1 - 2 e ^{2}}{7 e ^{2}}

4.35 = 7 - lo g_{10} (x)

ln (1 - x) = 2

ln (x - 3) = - 1

121 = lo g_{10} (2 x + 1)

lo g_{77} (lo g_{7} (x)) = 0

What is the answer to 4ln(7x+2)-7=-15 ?
The answer to 4ln(7x+2)-7=-15 is x=(1-2e^2)/(7e^2)
Solve for x: 4ln(7x+2)-7=-15
The solution is x=(1-2e^2)/(7e^2)