What is the answer to 10000-0=2000ln(3/m) ?

The answer to 10000-0=2000ln(3/m) is m= 3/(e^5)

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10000-0=2000ln(3/m)

10000 - 0 = 2000 ln (\frac{3}{m})

m = \frac{3}{e ^{5}}

Decimal Notation

m = 0.02021 \dots

Solution steps

10000 - 0 = 2000 ln (\frac{3}{m})

Switch sides

2000 ln (\frac{3}{m}) = 10000 - 0

Subtract the numbers:

10000 - 0 = 10000

2000 ln (\frac{3}{m}) = 10000

Divide both sides by

2000

ln (\frac{3}{m}) = 5

Apply log rules

\frac{3}{m} = e^{5}

Multiply both sides by

m

\frac{3}{m} m = e^{5} m

Simplify

3 = e^{5} m

Solve

3 = e^{5} m : m = \frac{3}{e ^{5}}

m = \frac{3}{e ^{5}}

Verify Solutions:

m = \frac{3}{e ^{5}}

True

The solution is

m = \frac{3}{e ^{5}}

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

lo g_{2 - 3 k} (125) = 3

lo g_{2} (y + 2) - lo g_{2} (y - 2) = 1

4 ln (x + 6) = - 8

lo g_{3} (x + a) = b

What is the answer to 10000-0=2000ln(3/m) ?
The answer to 10000-0=2000ln(3/m) is m= 3/(e^5)
Solve for m: 10000-0=2000ln(3/m)
The solution is m= 3/(e^5)