What is the answer to log_{9}(sqrt(2)7)=b ?

The answer to log_{9}(sqrt(2)7)=b is b=log_{9}(7)+1/2 log_{9}(2)

Solve for b: log_{9}(sqrt(2)7)=b

The solution is b=log_{9}(7)+1/2 log_{9}(2)

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lo g_{9} (27) = b

b = lo g_{9} (7) + \frac{1}{2} lo g_{9} (2)

Decimal Notation

b = 1.04335 \dots

Solution steps

lo g_{9} (2 \cdot 7) = b

Switch sides

b = lo g_{9} (2 \cdot 7)

Simplify

lo g_{9} (2 \cdot 7) : lo g_{9} (7) + \frac{1}{2} lo g_{9} (2)

b = lo g_{9} (7) + \frac{1}{2} lo g_{9} (2)

1 + \frac{5}{3}

s^{2} - 4 s - 12 = 0

(\frac{3 + 41}{2}) x^{2} + (\frac{3 - 41}{2}) = 9

- 4 x > 12

- 2 (x + 3) > - 16

What is the answer to log_{9}(sqrt(2)7)=b ?
The answer to log_{9}(sqrt(2)7)=b is b=log_{9}(7)+1/2 log_{9}(2)
Solve for b: log_{9}(sqrt(2)7)=b
The solution is b=log_{9}(7)+1/2 log_{9}(2)