What is the answer to solvefor x,2(log_{9}(30x))=7 ?

The answer to solvefor x,2(log_{9}(30x))=7 is x= 729/10

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solvefor x,2(log_{9}(30x))=7

solve for

x, 2 (lo g_{9} (30 x)) = 7

x = \frac{729}{10}

Decimal Notation

x = 72.9

Solution steps

2 (lo g_{9} (30 x)) = 7

Divide both sides by

2

lo g_{9} (30 x) = \frac{7}{2}

Apply log rules

30 x = 2187

Solve

30 x = 2187 : x = \frac{729}{10}

x = \frac{729}{10}

Verify Solutions:

x = \frac{729}{10}

True

The solution is

x = \frac{729}{10}

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

3 + lo g_{4} (- 4 x) = 4

ln (\frac{a \cdot b ^{x}}{c}) = 0

ln (T) = 1.56 + 0.82 \cdot ln (34)

3 ln (x - 3) = - 6

What is the answer to solvefor x,2(log_{9}(30x))=7 ?
The answer to solvefor x,2(log_{9}(30x))=7 is x= 729/10