What is the answer to 6+5ln(4x-3)=2 ?

The answer to 6+5ln(4x-3)=2 is x=(1+3e^{4/5})/(4e^{4/5)}

Solve for x: 6+5ln(4x-3)=2

The solution is x=(1+3e^{4/5})/(4e^{4/5)}

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6 + 5 ln (4 x - 3) = 2

x = \frac{1 + 3 e ^{\frac{4}{5}}}{4 e ^{\frac{4}{5}}}

Decimal Notation

x = 0.86233 \dots

Solution steps

6 + 5 ln (4 x - 3) = 2

Move

6

to the right side

5 ln (4 x - 3) = - 4

Divide both sides by

5

ln (4 x - 3) = - \frac{4}{5}

Apply log rules

4 x - 3 = \frac{1}{e ^{\frac{4}{5}}}

Solve

4 x - 3 = \frac{1}{e ^{\frac{4}{5}}} : x = \frac{1 + 3 e ^{\frac{4}{5}}}{4 e ^{\frac{4}{5}}}

x = \frac{1 + 3 e ^{\frac{4}{5}}}{4 e ^{\frac{4}{5}}}

Verify Solutions:

x = \frac{1 + 3 e ^{\frac{4}{5}}}{4 e ^{\frac{4}{5}}}

True

The solution is

x = \frac{1 + 3 e ^{\frac{4}{5}}}{4 e ^{\frac{4}{5}}}

2 = lo g_{b} (16)

2 lo g_{10} (x - 1) = lo g_{10} (x + 1)

ln (x - 4) + ln (7) = ln (x) + 2 ln (3)

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

3.2 = - lo g_{10} (x)

What is the answer to 6+5ln(4x-3)=2 ?
The answer to 6+5ln(4x-3)=2 is x=(1+3e^{4/5})/(4e^{4/5)}
Solve for x: 6+5ln(4x-3)=2
The solution is x=(1+3e^{4/5})/(4e^{4/5)}