What is the answer to x=ln(3.2x10^4) ?

The answer to x=ln(3.2x10^4) is x=-\W_{-1}(-1/32000),x=-\W_{0}(-1/32000)

Solve for x: x=ln(3.2x10^4)

The solution is x=-\W_{-1}(-1/32000),x=-\W_{0}(-1/32000)

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x = ln (3.2 x 1 0^{4})

x = - W_{- 1} (- \frac{1}{32000}), x = - W_{0} (- \frac{1}{32000})

Solution steps

x = ln (3.2 x \cdot 1 0^{4})

f (x) = g (x),

then

a^{f (x)} = a^{g (x)}

e^{x} = e^{l n (3.2 x \cdot 1 0^{4})}

Simplify

e^{l n (3.2 x \cdot 1 0^{4})} : 32000 x

e^{x} = 32000 x

Solve

e^{x} = 32000 x : x = - W_{- 1} (- \frac{1}{32000}), x = - W_{0} (- \frac{1}{32000})

x = - W_{- 1} (- \frac{1}{32000}), x = - W_{0} (- \frac{1}{32000})

Verify Solutions:

x = - W_{- 1} (- \frac{1}{32000})

True

, x = - W_{0} (- \frac{1}{32000})

True

The solutions are

x = - W_{- 1} (- \frac{1}{32000}), x = - W_{0} (- \frac{1}{32000})

lo g_{2} (x) - 8 lo g_{10} (x) + 15 = 0

ln ∣ x ∣ - x = 0

ln (2 b) = ln (4 b)

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

lo g_{10} (x) = 4.78

What is the answer to x=ln(3.2x10^4) ?
The answer to x=ln(3.2x10^4) is x=-\W_{-1}(-1/32000),x=-\W_{0}(-1/32000)
Solve for x: x=ln(3.2x10^4)
The solution is x=-\W_{-1}(-1/32000),x=-\W_{0}(-1/32000)