What is the answer to solvefor x,6ln(7x-2)-4=20 ?

The answer to solvefor x,6ln(7x-2)-4=20 is x=(e^4+2)/7

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solvefor x,6ln(7x-2)-4=20

solve for

x, 6 ln (7 x - 2) - 4 = 20

x = \frac{e ^{4} + 2}{7}

Decimal Notation

x = 8.08545 \dots

Solution steps

6 ln (7 x - 2) - 4 = 20

Move

4

to the right side

6 ln (7 x - 2) = 24

Divide both sides by

6

ln (7 x - 2) = 4

Apply log rules

7 x - 2 = e^{4}

Solve

7 x - 2 = e^{4} : x = \frac{e ^{4} + 2}{7}

x = \frac{e ^{4} + 2}{7}

Verify Solutions:

x = \frac{e ^{4} + 2}{7}

True

The solution is

x = \frac{e ^{4} + 2}{7}

lo g_{4} (x) = lo g_{2} (3)

lo g_{4} (n) = \frac{5}{2}

\frac{1}{2} x - 3 = ln (x) - 1

y, ln (y + 3) = 2 ln (x)

x \cdot 9^{l o g_{3} (x)} = 27

What is the answer to solvefor x,6ln(7x-2)-4=20 ?
The answer to solvefor x,6ln(7x-2)-4=20 is x=(e^4+2)/7