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

The answer to log_{3}(5x)+log_{3}(5)=3 is x= 27/25

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

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

x = \frac{27}{25}

Decimal Notation

x = 1.08

Solution steps

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

Move

lo g_{3} (5)

to the right side

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

Apply log rules

5 x = \frac{27}{5}

Solve

5 x = \frac{27}{5} : x = \frac{27}{25}

x = \frac{27}{25}

Verify Solutions:

x = \frac{27}{25}

True

The solution is

x = \frac{27}{25}

lo g_{3} (4 x - 5) = 3

l, w = ln (l + rs)

lo g_{10} (8) - lo g_{10} (2 x) = - 1

lo g_{3} (x) - lo g_{3} (3) = 10

lo g_{10} (x) = lo g_{10} (11) + 1

What is the answer to log_{3}(5x)+log_{3}(5)=3 ?
The answer to log_{3}(5x)+log_{3}(5)=3 is x= 27/25
Solve for x: log_{3}(5x)+log_{3}(5)=3
The solution is x= 27/25