What is the answer to 0=log_{10}(10+(3q)/2) ?

The answer to 0=log_{10}(10+(3q)/2) is q=-6

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0=log_{10}(10+(3q)/2)

0 = lo g_{10} (10 + \frac{3 q}{2})

q = - 6

Solution steps

0 = lo g_{10} (10 + \frac{3 q}{2})

Apply log rules

1 0^{0} = 10 + \frac{3 q}{2}

Multiply both sides by

2

1 0^{0} \cdot 2 = 10 \cdot 2 + \frac{3 q}{2} \cdot 2

Simplify

2 = 20 + 3 q

Solve

2 = 20 + 3 q : q = - 6

q = - 6

Verify Solutions:

q = - 6

True

The solution is

q = - 6

ln (3 x - 12) = 9

ln (3 x - 12) = 6

3 ln (7 x) = - 6

lo g_{10} (8 x) = \frac{2}{3}

lo g_{m} (6) = \frac{1}{2}

What is the answer to 0=log_{10}(10+(3q)/2) ?
The answer to 0=log_{10}(10+(3q)/2) is q=-6
Solve for q: 0=log_{10}(10+(3q)/2)
The solution is q=-6