What is the answer to 6ln(7x+6)-14=10 ?

The answer to 6ln(7x+6)-14=10 is x=(e^4-6)/7

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6ln(7x+6)-14=10

6 ln (7 x + 6) - 14 = 10

x = \frac{e ^{4} - 6}{7}

Decimal

x = 6.94259 \dots

Solution steps

6 ln (7 x + 6) - 14 = 10

Move

14

to the right side

6 ln (7 x + 6) = 24

Divide both sides by

6

ln (7 x + 6) = 4

Apply log rules

7 x + 6 = e^{4}

Solve

7 x + 6 = e^{4} : x = \frac{e ^{4} - 6}{7}

x = \frac{e ^{4} - 6}{7}

Verify Solutions:

x = \frac{e ^{4} - 6}{7}

True

The solution is

x = \frac{e ^{4} - 6}{7}

lo g_{3} (9 x - 5) = lo g_{3} (5 x - 7)

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

ln (9 ln (x)) = 0

6.8 = ln (\frac{x}{100})

A = - lo g_{10} (x)

What is the answer to 6ln(7x+6)-14=10 ?
The answer to 6ln(7x+6)-14=10 is x=(e^4-6)/7
Solve for x: 6ln(7x+6)-14=10
The solution is x=(e^4-6)/7