What is the answer to log_{3}(5)+log_{3}(8+3x)=5 ?

The answer to log_{3}(5)+log_{3}(8+3x)=5 is x= 203/15

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log_{3}(5)+log_{3}(8+3x)=5

lo g_{3} (5) + lo g_{3} (8 + 3 x) = 5

x = \frac{203}{15}

Decimal Notation

x = 13.53333 \dots

Solution steps

lo g_{3} (5) + lo g_{3} (8 + 3 x) = 5

Move

lo g_{3} (5)

to the right side

lo g_{3} (8 + 3 x) = 5 - lo g_{3} (5)

Apply log rules

8 + 3 x = \frac{243}{5}

Solve

8 + 3 x = \frac{243}{5} : x = \frac{203}{15}

x = \frac{203}{15}

Verify Solutions:

x = \frac{203}{15}

True

The solution is

x = \frac{203}{15}

lo g_{2 x - 1} (256) = 8

lo g_{5} (x + 6) - lo g_{5} (x - 2) = 1

ln (1 - 5 x) = - 2

lo g_{8} (\frac{5 x - 29}{11}) = 0

lo g_{- 2 x - 3} (3 x^{2} + x - 19) = 2

What is the answer to log_{3}(5)+log_{3}(8+3x)=5 ?
The answer to log_{3}(5)+log_{3}(8+3x)=5 is x= 203/15
Solve for x: log_{3}(5)+log_{3}(8+3x)=5
The solution is x= 203/15