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

The answer to log_{5}(9x)+2log_{5}(3)=2 is x= 25/81

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log_{5}(9x)+2log_{5}(3)=2

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

x = \frac{25}{81}

Decimal Notation

x = 0.30864 \dots

Solution steps

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

Move

2 lo g_{5} (3)

to the right side

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

Apply log rules

9 x = \frac{25}{9}

Solve

9 x = \frac{25}{9} : x = \frac{25}{81}

x = \frac{25}{81}

Verify Solutions:

x = \frac{25}{81}

True

The solution is

x = \frac{25}{81}

12 lo g_{x} (5) + lo g_{5} (x) - 7 = 0

4 ln (x + 1) = 12

x, g = lo g_{4} (x - 3)

lo g_{10} (2 x + 3) = lo g_{10} (x + 5)

ln (x^{2} - x + 17) = \frac{3}{4}

What is the answer to log_{5}(9x)+2log_{5}(3)=2 ?
The answer to log_{5}(9x)+2log_{5}(3)=2 is x= 25/81
Solve for x: log_{5}(9x)+2log_{5}(3)=2
The solution is x= 25/81