What is the answer to 4ln(7x-4)-2=14 ?

The answer to 4ln(7x-4)-2=14 is x=(e^4+4)/7

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4ln(7x-4)-2=14

4 ln (7 x - 4) - 2 = 14

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

Decimal Notation

x = 8.37116 \dots

Solution steps

4 ln (7 x - 4) - 2 = 14

Move

2

to the right side

4 ln (7 x - 4) = 16

Divide both sides by

4

ln (7 x - 4) = 4

Apply log rules

7 x - 4 = e^{4}

Solve

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

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

Verify Solutions:

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

True

The solution is

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

lo g_{10} (5 - 4 lo g_{10} (x + 2)) = 0

10 = lo g_{10} (x)

1 0^{l o g_{10} (2 x)} = x + 10

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

0.32 = lo g_{10} (x)

What is the answer to 4ln(7x-4)-2=14 ?
The answer to 4ln(7x-4)-2=14 is x=(e^4+4)/7
Solve for x: 4ln(7x-4)-2=14
The solution is x=(e^4+4)/7