What is the answer to 8=5-4ln(3t-4) ?

The answer to 8=5-4ln(3t-4) is t=(1+4e^{3/4})/(3e^{3/4)}

Solve for t: 8=5-4ln(3t-4)

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

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8 = 5 - 4 ln (3 t - 4)

t = \frac{1 + 4 e ^{\frac{3}{4}}}{3 e ^{\frac{3}{4}}}

Decimal Notation

t = 1.49078 \dots

Solution steps

8 = 5 - 4 ln (3 t - 4)

Switch sides

5 - 4 ln (3 t - 4) = 8

Move

5

to the right side

- 4 ln (3 t - 4) = 3

Divide both sides by

- 4

ln (3 t - 4) = - \frac{3}{4}

Apply log rules

3 t - 4 = \frac{1}{e ^{\frac{3}{4}}}

Solve

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

t = \frac{1 + 4 e ^{\frac{3}{4}}}{3 e ^{\frac{3}{4}}}

Verify Solutions:

t = \frac{1 + 4 e ^{\frac{3}{4}}}{3 e ^{\frac{3}{4}}}

True

The solution is

t = \frac{1 + 4 e ^{\frac{3}{4}}}{3 e ^{\frac{3}{4}}}

lo g_{3} (x) = 1 + lo g_{3} (20)

ln (- x) = - 2

lo g_{x} (4) = 0.5

lo g_{x} (4) = 0.4

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

What is the answer to 8=5-4ln(3t-4) ?
The answer to 8=5-4ln(3t-4) is t=(1+4e^{3/4})/(3e^{3/4)}
Solve for t: 8=5-4ln(3t-4)
The solution is t=(1+4e^{3/4})/(3e^{3/4)}