What is the answer to 1400=800+200log_{10}(x-9) ?

The answer to 1400=800+200log_{10}(x-9) is x=1009

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1400=800+200log_{10}(x-9)

1400 = 800 + 200 lo g_{10} (x - 9)

x = 1009

Solution steps

1400 = 800 + 200 lo g_{10} (x - 9)

Switch sides

800 + 200 lo g_{10} (x - 9) = 1400

Move

800

to the right side

200 lo g_{10} (x - 9) = 600

Divide both sides by

200

lo g_{10} (x - 9) = 3

Apply log rules

x - 9 = 1000

Solve

x - 9 = 1000 : x = 1009

x = 1009

Verify Solutions:

x = 1009

True

The solution is

x = 1009

lo g_{3} (x^{2} - 2) = 0

lo g_{a} (2) = 2

2 ln (\frac{900}{900 - x}) = 12

ln (L) = \infty

lo g_{b} (256) = 4

What is the answer to 1400=800+200log_{10}(x-9) ?
The answer to 1400=800+200log_{10}(x-9) is x=1009
Solve for x: 1400=800+200log_{10}(x-9)
The solution is x=1009