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

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

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

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

x = \frac{25}{9}

Decimal Notation

x = 2.77777 \dots

Solution steps

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

Move

2 lo g_{5} (3)

to the right side

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

Apply log rules

x = \frac{25}{9}

Verify Solutions:

x = \frac{25}{9}

True

The solution is

x = \frac{25}{9}

ln (x) = 1 + ln (x + 1)

lo g_{6} (9) - lo g_{6} (- x) = 2

ln (x^{2} - 3 x + 3) = 0

6 ln (6 x + 1) + 10 = - 2

lo g_{2} ((x + 5)^{4}) = 4

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