What is the answer to 4ln(7x-1)-6=6 ?

The answer to 4ln(7x-1)-6=6 is x=(e^3+1)/7

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4ln(7x-1)-6=6

4 ln (7 x - 1) - 6 = 6

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

Decimal Notation

x = 3.01221 \dots

Solution steps

4 ln (7 x - 1) - 6 = 6

Move

6

to the right side

4 ln (7 x - 1) = 12

Divide both sides by

4

ln (7 x - 1) = 3

Apply log rules

7 x - 1 = e^{3}

Solve

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

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

Verify Solutions:

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

True

The solution is

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

lo g_{10} (x) + lo g_{10} (x + 2) = 9

lo g_{10} (x) + lo g_{10} (x + 2) = 3

ln (x + 3) + ln (x) - ln (2 x) = 3

lo g_{6} (9 x) - lo g_{6} (4) = 2

lo g_{10} (x) = - x + 40

What is the answer to 4ln(7x-1)-6=6 ?
The answer to 4ln(7x-1)-6=6 is x=(e^3+1)/7
Solve for x: 4ln(7x-1)-6=6
The solution is x=(e^3+1)/7