What is the answer to 2ln(7x+6)-2=12 ?

The answer to 2ln(7x+6)-2=12 is x=(e^7-6)/7

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2ln(7x+6)-2=12

2 ln (7 x + 6) - 2 = 12

x = \frac{e ^{7} - 6}{7}

Decimal Notation

x = 155.80473 \dots

Solution steps

2 ln (7 x + 6) - 2 = 12

Move

2

to the right side

2 ln (7 x + 6) = 14

Divide both sides by

2

ln (7 x + 6) = 7

Apply log rules

7 x + 6 = e^{7}

Solve

7 x + 6 = e^{7} : x = \frac{e ^{7} - 6}{7}

x = \frac{e ^{7} - 6}{7}

Verify Solutions:

x = \frac{e ^{7} - 6}{7}

True

The solution is

x = \frac{e ^{7} - 6}{7}

2 lo g_{3} (x - 4) = lo g_{3} (x + 2) + 1

lo g_{10} (81) = 4 lo g_{10} (x)

lo g_{10} (1 - k) = - \frac{0.3}{8}

lo g_{b} (3) = 1

lo g_{16} (36) = 1 - lo g_{4} (x)

What is the answer to 2ln(7x+6)-2=12 ?
The answer to 2ln(7x+6)-2=12 is x=(e^7-6)/7
Solve for x: 2ln(7x+6)-2=12
The solution is x=(e^7-6)/7