What is the answer to 3ln(5x-7)-4=-10 ?

The answer to 3ln(5x-7)-4=-10 is x=(1+7e^2)/(5e^2)

Solve for x: 3ln(5x-7)-4=-10

The solution is x=(1+7e^2)/(5e^2)

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3 ln (5 x - 7) - 4 = - 10

x = \frac{1 + 7 e ^{2}}{5 e ^{2}}

Decimal Notation

x = 1.42706 \dots

Solution steps

3 ln (5 x - 7) - 4 = - 10

Move

4

to the right side

3 ln (5 x - 7) = - 6

Divide both sides by

3

ln (5 x - 7) = - 2

Apply log rules

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

Solve

5 x - 7 = \frac{1}{e ^{2}} : x = \frac{1 + 7 e ^{2}}{5 e ^{2}}

x = \frac{1 + 7 e ^{2}}{5 e ^{2}}

Verify Solutions:

x = \frac{1 + 7 e ^{2}}{5 e ^{2}}

True

The solution is

x = \frac{1 + 7 e ^{2}}{5 e ^{2}}

lo g_{3} (lo g_{5} (x)) = 0

ln (2 x - 1) + ln (x + 2) = 0

ln (2 x^{2} - 2 x + 5) = 6

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

10.2 = - lo g_{10} (x)

What is the answer to 3ln(5x-7)-4=-10 ?
The answer to 3ln(5x-7)-4=-10 is x=(1+7e^2)/(5e^2)
Solve for x: 3ln(5x-7)-4=-10
The solution is x=(1+7e^2)/(5e^2)