What is the answer to 2log_{9}(5x)=3 ?

The answer to 2log_{9}(5x)=3 is x= 27/5

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2log_{9}(5x)=3

2 lo g_{9} (5 x) = 3

x = \frac{27}{5}

Decimal Notation

x = 5.4

Solution steps

2 lo g_{9} (5 x) = 3

Divide both sides by

2

lo g_{9} (5 x) = \frac{3}{2}

Apply log rules

5 x = 27

Solve

5 x = 27 : x = \frac{27}{5}

x = \frac{27}{5}

Verify Solutions:

x = \frac{27}{5}

True

The solution is

x = \frac{27}{5}

ln (3 x + 1) = 2

lo g_{10} (5 x) = lo g_{10} (2 x + 9)

ln ((x - 1)^{2} (x - 2)^{2}) = ln (4)

lo g_{5} (12 x + 5) = 3

lo g_{3} (p) + lo g_{27} (3 p) = - 1