What is the answer to 9log_{6}(5w+6)+3=30 ?

The answer to 9log_{6}(5w+6)+3=30 is w=42

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9log_{6}(5w+6)+3=30

9 lo g_{6} (5 w + 6) + 3 = 30

w = 42

Solution steps

9 lo g_{6} (5 w + 6) + 3 = 30

Move

3

to the right side

9 lo g_{6} (5 w + 6) = 27

Divide both sides by

9

lo g_{6} (5 w + 6) = 3

Apply log rules

5 w + 6 = 216

Solve

5 w + 6 = 216 : w = 42

w = 42

Verify Solutions:

w = 42

True

The solution is

w = 42

lo g_{3} (x) + lo g_{3} (2) = 5

lo g_{2} (7 x) + 3 lo g_{2} (3) = 5

3 = lo g_{10} (\frac{1 0 ^{5}}{x})

0.85 = lo g_{10} (x)

2 lo g_{10} (2 - x) = - x

What is the answer to 9log_{6}(5w+6)+3=30 ?
The answer to 9log_{6}(5w+6)+3=30 is w=42
Solve for w: 9log_{6}(5w+6)+3=30
The solution is w=42