What is the answer to 6ln(8x+1)-14=28 ?

The answer to 6ln(8x+1)-14=28 is x=(e^7-1)/8

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6ln(8x+1)-14=28

6 ln (8 x + 1) - 14 = 28

x = \frac{e ^{7} - 1}{8}

Decimal

x = 136.95414 \dots

Solution steps

6 ln (8 x + 1) - 14 = 28

Move

14

to the right side

6 ln (8 x + 1) = 42

Divide both sides by

6

ln (8 x + 1) = 7

Apply log rules

8 x + 1 = e^{7}

Solve

8 x + 1 = e^{7} : x = \frac{e ^{7} - 1}{8}

x = \frac{e ^{7} - 1}{8}

Verify Solutions:

x = \frac{e ^{7} - 1}{8}

True

The solution is

x = \frac{e ^{7} - 1}{8}

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

lo g_{0.3} (5 + 2 x) = 1

lo g_{8} (x^{\frac{1}{3}}) = 3

- \frac{- 6 ln ( x ) + 5}{x ^{4}} = 0

- 4 lo g_{10} (x) = 2 lo g_{10} (16) - 3 lo g_{10} (256)

What is the answer to 6ln(8x+1)-14=28 ?
The answer to 6ln(8x+1)-14=28 is x=(e^7-1)/8
Solve for x: 6ln(8x+1)-14=28
The solution is x=(e^7-1)/8