What is the answer to 55000=5000ln(0.3t+0.5)+38000 ?

The answer to 55000=5000ln(0.3t+0.5)+38000 is t=(10e^{17/5}-5)/3

Solve for t: 55000=5000ln(0.3t+0.5)+38000

The solution is t=(10e^{17/5}-5)/3

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55000 = 5000 ln (0.3 t + 0.5) + 38000

t = \frac{10 e ^{\frac{17}{5}} - 5}{3}

Decimal Notation

t = 98.21366 \dots

Solution steps

55000 = 5000 ln (0.3 t + 0.5) + 38000

Switch sides

5000 ln (0.3 t + 0.5) + 38000 = 55000

Move

38000

to the right side

5000 ln (0.3 t + 0.5) = 17000

Divide both sides by

5000

ln (0.3 t + 0.5) = \frac{17}{5}

Apply log rules

0.3 t + 0.5 = e^{\frac{17}{5}}

Solve

0.3 t + 0.5 = e^{\frac{17}{5}} : t = \frac{10 e ^{\frac{17}{5}} - 5}{3}

t = \frac{10 e ^{\frac{17}{5}} - 5}{3}

Verify Solutions:

t = \frac{10 e ^{\frac{17}{5}} - 5}{3}

True

The solution is

t = \frac{10 e ^{\frac{17}{5}} - 5}{3}

ln (y) = 0.83

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

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

5 lo g_{10} (x) = 3 lo g_{x} (+ 6)

ln (8 ln (x)) = 0

What is the answer to 55000=5000ln(0.3t+0.5)+38000 ?
The answer to 55000=5000ln(0.3t+0.5)+38000 is t=(10e^{17/5}-5)/3
Solve for t: 55000=5000ln(0.3t+0.5)+38000
The solution is t=(10e^{17/5}-5)/3