What is the answer to 3ln(8x-10)+15=6 ?

The answer to 3ln(8x-10)+15=6 is x=(1+10e^3)/(8e^3)

Solve for x: 3ln(8x-10)+15=6

The solution is x=(1+10e^3)/(8e^3)

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3 ln (8 x - 10) + 15 = 6

x = \frac{1 + 10 e ^{3}}{8 e ^{3}}

Solution steps

3 ln (8 x - 10) + 15 = 6

Move

15

to the right side

3 ln (8 x - 10) = - 9

Divide both sides by

3

ln (8 x - 10) = - 3

Apply log rules

8 x - 10 = \frac{1}{e ^{3}}

Solve

8 x - 10 = \frac{1}{e ^{3}} : x = \frac{1 + 10 e ^{3}}{8 e ^{3}}

x = \frac{1 + 10 e ^{3}}{8 e ^{3}}

Verify Solutions:

x = \frac{1 + 10 e ^{3}}{8 e ^{3}}

True

The solution is

x = \frac{1 + 10 e ^{3}}{8 e ^{3}}

lo g_{3} (x + 7) + lo g_{3} (x + 8) = 8

lo g_{10} (x) + lo g_{10} (4 x) = 2

4 + 3 ln (x) = 5

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

- 3 lo g_{7} (- 5 n - 7) = 0

What is the answer to 3ln(8x-10)+15=6 ?
The answer to 3ln(8x-10)+15=6 is x=(1+10e^3)/(8e^3)
Solve for x: 3ln(8x-10)+15=6
The solution is x=(1+10e^3)/(8e^3)