What is the answer to 30=85-55log_{10}(t+2) ?

The answer to 30=85-55log_{10}(t+2) is t=8

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30=85-55log_{10}(t+2)

30 = 85 - 55 lo g_{10} (t + 2)

t = 8

Solution steps

30 = 85 - 55 lo g_{10} (t + 2)

Switch sides

85 - 55 lo g_{10} (t + 2) = 30

Move

85

to the right side

- 55 lo g_{10} (t + 2) = - 55

Divide both sides by

- 55

lo g_{10} (t + 2) = 1

Apply log rules

t + 2 = 10

Solve

t + 2 = 10 : t = 8

t = 8

Verify Solutions:

t = 8

True

The solution is

t = 8

lo g_{3} (8 x + 1) - lo g_{3} (x - 1) = 2

5.6 = - lo g_{10} (x)

lo g_{2} (x) + lo g_{6} (x) = 3

lo g_{0.02} (x) = - 1

13 ln (2 x + 3) = 15

What is the answer to 30=85-55log_{10}(t+2) ?
The answer to 30=85-55log_{10}(t+2) is t=8
Solve for t: 30=85-55log_{10}(t+2)
The solution is t=8