What is the answer to 400=250+90ln(0.05x-10) ?

The answer to 400=250+90ln(0.05x-10) is x=20(e^{5/3}+10)

Solve for x: 400=250+90ln(0.05x-10)

The solution is x=20(e^{5/3}+10)

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400 = 250 + 90 ln (0.05 x - 10)

x = 20 (e^{\frac{5}{3}} + 10)

Decimal

x = 305.88980 \dots

Solution steps

400 = 250 + 90 ln (0.05 x - 10)

Switch sides

250 + 90 ln (0.05 x - 10) = 400

Move

250

to the right side

90 ln (0.05 x - 10) = 150

Divide both sides by

90

ln (0.05 x - 10) = \frac{5}{3}

Apply log rules

0.05 x - 10 = e^{\frac{5}{3}}

Solve

0.05 x - 10 = e^{\frac{5}{3}} : x = 20 (e^{\frac{5}{3}} + 10)

x = 20 (e^{\frac{5}{3}} + 10)

Verify Solutions:

x = 20 (e^{\frac{5}{3}} + 10)

True

The solution is

x = 20 (e^{\frac{5}{3}} + 10)

lo g_{8} (x) = x + 1

lo g_{x} (0.25) = - 2

6 - lo g_{10} (8 x + 4) = 4

2 ln (x) + ln (2) = ln (x + 3)

lo g_{4} (x^{2} - 15 x) = 2

What is the answer to 400=250+90ln(0.05x-10) ?
The answer to 400=250+90ln(0.05x-10) is x=20(e^{5/3}+10)
Solve for x: 400=250+90ln(0.05x-10)
The solution is x=20(e^{5/3}+10)